concise mathematics class 7 lines and angles

Selina Concise Mathematics Class 7 ICSE Solutions Chapter 14 Lines and Angles @inproceedings{Ram2019SelinaCM, title={Selina Concise Mathematics Class 7 ICSE Solutions Chapter 14 Lines and Angles}, author={Ram}, year={2019} } Visit official Website CISCE for detail information about ICSE Board Class-7. It must be noted that ∠XOY means the smaller angle only unless it is mentioned to take otherwise. “The given figure shows a line AB in which two arrow-heads in opposite directions show that can be extended infinitely in both the directions. Each angle is called the supplement of the other. Answer, Draw a line segment AB = 8 cm. Solution: Question 7. (iv) Bisect arc PQ at R and join BR. At P, draw perpendicular to AB. Thus, the complement of angle 53° = 90° – 53° = 37°. (iii) The adjoining figure shows a line-segment AB with fixed ends A and B. Solution: Question 13. (ii) the complement of angle x. Reflex angle : measures between 180° and 360°. RAY : It is a straight line which stats from a fixed point and moves in the same direction. Then ∠APQ = 30°. Then ∠ABC = 22 \(\frac { 1 }{ 2 }\) ° or 22.5°. (a) collinear points? Obtuse angle : measures between 90° and 180° 4. Question 6. Concise Mathematics Class 7 ICSE Solutions Data Handling. (vii)  of a right angle or own an. Answer, In the given figure, if x = 2y, find x and y (vi) ∠1 and ∠8 Answer, Write the supplement of: Answer, 10% of x° is the complement of 40% of 2x°. Give, in each case, reason for your answer. (ii) Mark a point P in AB such that PB = 3.6 cm. I have done 22 videos on Lines and Angles chapter from CBSE / NCERT book Solution: Steps of Construction : (i) Draw a line segment AB = 5.8 cm. MORE ABOUT ANGLES : (A) Angles about a point: If a number of angles are formed about a point, their sum is always 360°. (ix) ∠4 and ∠6 are allied or co-interior angles. (viii) ∠4 and ∠5 are adjacent angles. In the given figure, find ∠PQR. When a transversal cuts two given straight lines (refer the adjoining figure), the following pairs of angles are formed. 10. Solution: Question 15. In the adjoining figure, if b° = a° + c°, find b. (iv) ∠7 and ∠13 AB and BC are the arms of the angle and their common point B is the vertex. 1. Find the unknown angles. Answer, In the given figures, the arrows indicate parallel lines. Find : (i) x (ii) ∠AOB (iii) ∠BOC, In the given figure. State Books Bihar UP Andhra Pradesh Chhattisgarh Gujarat Karnataka Kerala Madhya Pradesh Maharashtra Punjab Rajasthan Tamilnadu Telangana ICSE NIOS Odisha Board. Line segment: The shortest distance between any two point is called line segment. (vi) ∠11 and ∠8 (vi) 22.5° Draw ∠ABC = 120°. Selina Class 7 Maths ICSE SolutionsPhysicsChemistryBiologyGeographyHistory & Civics. (vii) ∠1 and ∠5 10:00 AM to 7… Find : (i) the value of x. Selina Concise Class 7 Math Chapter 14 Lines And Angles Exercise 14B Solution EXERCISE 14B In questions 1 and 2, given below, identify the given pairs of angles as corresponding angles, interior alternate angles, exterior alternate angles, adjacent angles, vertically opposite angles or allied angles: (1) (i) Interior alternate angles (ix) Is 40° the complement of 60°? Two angles are called complementary angles, if their sum is one’right angle i.e. Concepts covered in Lines and Angles (Including Construction of angles) are Concept for Pairs of Angles, Concept for Properties of Parallel Lines with Transversal, Construction of a Line Parallel to a Given Line from a Point Outside It ., Introduction to Lines and Angles . A line may be straight or curved but when we say a line’ it means a straight line only. Question 2. (i) ∠3 and ∠6 (ii) ∠2 and ∠4 (iii) ∠3 and ∠7 (iv) ∠2 and ∠7 (v) ∠4 and∠6 (vi) ∠1 and ∠8 (vii) ∠1 and ∠5 (viii) ∠1 and ∠4 (ix) ∠5 and ∠7 Solution: (i) ∠3 and ∠6 are interior alternate angles. The symbol for degree is °. If 3x + 18° and 2x + 25° are supplementary, find the value of x. Academic Partner. (iv) Now bisect arc QR at S and again bisect arc QS at T. (v) Bisect arc PT at K. (vi) Join BK and produce it to A. Angles-An angle is formed when lines or line segments meet.-The lines that form an angle are called the sides or the arms of the angle.-The common end point is called the vertex of the angle.-The angle formed by two lines or line segments can be an acute angle, where the measure of the angle is less than 90°.-The angle formed by two lines or line segments can be a right angle… We provide step by step Solutions of Exercise / lesson-14 Lines and Angles (Including Construction of angles)  for  ICSE Class-7 Concise Selina Mathematics. Answer, Draw a line segment of length 6 .4 cm. The corners made by the intersection of two lines or line segments are called Angles. Answer, Find x. y and p is the given figures CBSE Class 7 Maths Chapter 5 Notes Lines and Angles Lines and Angles Class 7 Notes Conceptual Facts. Then PQ is perpendicular to AB at P. Question 8. 20% of an angle is the supplement of 60°. (iv) An infinite number of straight lines can be drawn through a given point. Thus : 60 degree = 60°, 87 degree = 87’ and so on. (vii) 37.5° Steps of Construction : (i) Draw a line segment BC. Question 6. (viii) 67.5° Steps of Construction : (i) Draw a line segment BC. (ii) Find a, if x = 3a, y = 5x and r = 6x. (iii) x° (ii) ∠4 and ∠7 (ii) the complement of angle x. (i) ∠3 and ∠6 All the solutions of Lines And Angles - Mathematics explained in detail by experts to help students prepare for their CBSE exams. (iii) ∠3 and ∠7 are corresponding angles. 180″. Draw a line segment AB = 8 cm. (v) Write the number of end points in (a) a line segment AB (b) arayAB (c) alineAB (vi) Out of \(\overleftrightarrow { AB }\) , \(\overrightarrow { AB }\) , \(\overleftarrow { AB }\) and \(\overline { AB }\) , which one has a fixed length? Solution: Steps of Construction : (i) Draw a line segment PQ = 6 cm. Answer, Draw a line segment PQ = 6 cm. (ii) A ray has one end point and a line segment has two end-points. 3. Our Solutions contain all type Questions with Exe-14 A, Exe-14 B, and Exe-14 C to develop skill and confidence. LINE SEGMENT : It is a straight line with its both ends fixed. 11. (iii) In this figure, OA is their common arm ∴ ∠AOB and ∠AOC are adjacent angles. (v) ∠6 and ∠8 (iii) With centre P and some suitable radius draw an arc meeting AB in L. (iv) With centre L and same radius cut arcs LM and then as N. (v) Bisect arc MN at S. (vi) Join PS and produce it to Q. (v) With centres R and S, draw two arcs intersecting each other at M. (vi) With centre T and S draw two arcs intersecting each other at L. (vi) Join BL and produce it to A. For each angle given below, write the name of the vertex, the names of the arms and the name of the angle. Bisect the angle using ruler and compasses only. i. e. ∠AOD = ∠BOC and ∠AOC = ∠BOD. (iii) ∠10 and ∠12 are vertically opposite angles. Question 5. Give reason: In the given figures, the directed lines are parallel to each other. May 26, 2018 - Selina Concise Mathematics Class 7 ICSE Solutions Chapter 14 Lines and Angles (Including Construction of angles) Selina Publishers Concise Maths Class 7 ICSE Solutions Chapter 14 Lines and Angles (Including Construction of angles) ICSE SolutionsSelina ICSE SolutionsML Aggarwal Solutions APlusTopper.com provides step by step solutions for Selina Concise ICSE Solutions for Class 7 … 9. State, true or false : (i) A line segment 4 cm long can have only 2000 points in it. Concise Mathematics Class 7 ICSE Solutions Decimal Fractions (Decimals) Concise Mathematics Class 7 ICSE Solutions Exponents (Including Laws of Exponents) Concise Mathematics Class 7 ICSE Solutions Fractions (Including … (ii) With centre B and some suitable radius, draw an arc meeting BC at P. (iii) With centre P and with same radius, cut arcs PQ and QR. Answer, In the adjoining figure, if b° = a° + c°, find b. Answer, If two complementary angles are in the ratio 1:5, find them. 12. (i) 10° and 80° (ii) 37° 28′ and 52° 33′ (iii) (x+ 16)°and(74-x)° (iv) 54° and \(\frac { 2 }{ 5 }\) of a right angle. POINT : A point: is a mark of position; which has no length, no breadth and no thickness. (C) Vertically opposite angles : When two straight lines intersect each other four angles are formed. (iii) A line segment is the shortest distance between any two given points. Angles AOD and BOC form one pair of vertically opposite angles; whereas angles AOC and BOD form another pair of vertically opposite angles. Mark a point A in PQ so that AP = 2 cm. p° = q° = r°, find each. (v) Bisect arc LM at N. (vi) Join PN and produce it to Q. (v) (90 +a + b)° f (iii) ∠10 and ∠12 (iii) A line segment is the shortest distance between any two given points. Lines and Angles ICSE Class-7th Concise Selina Mathematics Chapter-14. Solution: Steps of Construction : (i) Draw a line segment AB = 8 cm. Solutions of class 7 maths is available in PDF. Answer, Find k in each of the given figures. (ii) Mark a point P in AB such that AP = 5 cm. ∴l3 and l5 are not parallel But ∠1 = 80° (alternate angles) ⇒ 80° = 80° Which is true ∴ l2 and l4 are parallel (vi) Lines are parallel If alternate angles are equal ⇒ 50° = 40° Wliich is not ture lines are not parallel. (vii) Now bisect arc PR at T. (viii) Join BT and produce it to A. (ii) ∠4 and ∠7 are alternate angles. Then ∠ABC = 120° (v) With centres P and R, draw two arcs intersecting each other at S. (vi) Join BS and produce it to D. BD is the bisector of ∠ABC. Solution: Steps of Construction : (i) Draw a line segment BC. Mark a point P in AB such that PB = 3.6 cm. (v) Join AB and produce it to R. Then ∠QAR = 60°, Question 4. A line is a one dimensional geometrical object with negligible width and depth. Find the angle. Solution: Question 10. (ii) A ray has one end point and a line segment has two end-points. Find yin the given figure. At point A, construct angle QAR = 60°. Find x in the following cases : Question 1. COMPLEMENTARY AND SUPPLEMENTARY ANGLES 1. Solution: Question 21. If x : y = 1 : 2 and z = 90°, find ∠ROM and ∠POR. Solution. State which angles are equal. (viii) How many lines can be drawn through three (a) collinear points? Lines and Angles Exercise 14B – Selina Concise Mathematics Class 7 ICSE Solutions In questions 1 and 2, given below, identify the given pairs of angles as corresponding angles, interior alternate angles, exterior alternate angles, adjacent angles, vertically opposite angles or allied angles : Question 1. Class 7 Mathematics - Lines and Angles | CBSE Board - YouTube Solution: Question 25. Mark a point P in AB so that AP = 5 cm. Write the complement of: Solution: Question 11. Refer to other chapters and books at other links (NCERT now providing you soft copies of all textbooks of all subjects from class first to twelfth online). Answer, Use the adjacent figure, to find angle x and its supplement. (iii) ∠3 and ∠7 (ix) ∠5 and ∠7 (vii) ∠1 and ∠5 are corresponding angles. Two angles are called supplementary angles, if their sum is two right angles i.e. An angle which is … At P, draw perpendicular to AB. (ix) ∠4 and ∠6 Find : (i) x (ii) ∠AOB (iii) ∠BOC Solution: Question 4. Jul 26, 2019 - Selina Concise Mathematics Class 7 ICSE Solutions Chapter 14 Lines and Angles (Including Construction of angles) Selina Publishers Concise Mathematics Class 7 ICSE Solutions Chapter 14 Lines and Angles (Including Construction of angles) Lines and Angles Exercise 14A – Selina Concise Mathematics Class 7 ICSE Solutions Question 1. The detailed, step-by-step solutions will help you understand the concepts better and … We provide step by step Solutions of Exercise / lesson-14 Lines and Angles (Including Construction of angles) for ICSE Class-7 Concise Selina Mathematics. Then ∠ABC = 165°. Answer, Are the following pairs of angles complementary ? 5.1 … Solution: Steps of Construction : (i) Draw a line segment AB = 6.4 cm. In the given figures, the arrows indicate parallel lines. Introduction to Lines and Angles. (i) Find x, if y = 45° and z = 90°. Answer, (i) ∠1 and ∠4 Find them. Thus, (i) r = 60′ and l’ = 60″ (ii) 9 minutes 45 seconds = 9′ 45″ (iii) 85 degrees 30 minutes 15 seconds = 85° 30′ 15″ and so on. Find : (i) the value of x. Selina Publishers Concise Mathematics for Class 7 ICSE Solutions all questions are solved and explained by expert mathematic teachers as per ICSE board guidelines. State, true or false : (i) A line … (v) With centre P and R, draw two more arcs intersecting each other at S. (vi) Join BS and produce it to A. Easy to print and read. It is clear from the figure, that a ray is a part of a line. (viii) ∠4 and ∠5 (iii) With centres P and T, draw arcs intersecting each other at L. (iv) Join BL and produce it to D. Then BD bisects ∠ABC. In which of the following figures, are ∠AOB and ∠AOC adjacent angles? ∴ Lines are parallel. State Books Bihar UP Andhra Pradesh Chhattisgarh Gujarat Karnataka Kerala Madhya Pradesh Maharashtra Punjab Rajasthan Tamilnadu Telangana ICSE NIOS Odisha Board. Draw its perpendicular bisector. (ix) Is 40° the complement of 60°? (ii) With centre B and a suitable radius draw an arc meeting BC at P. (iii) With centre P and with same radius cut off the arc at Q. (iv) Taking P and Q as curves, draw two arcs intersecting each other at D nnd join BD. Get Selina concise solutions for class 7 maths for all chapters. (iv) Join BS and produce it to A. (i) The adjoining figure shows a line AB which can be extended upto infinitey on both the sides of it. Answer, Are the following pairs of angles supplementary? NCERT Solutions for Class 7 Mathematics CBSE, 5 Lines And Angles. (ii) ∠2 and ∠4 (iv) ∠2 and ∠7 are exterior alternate angles, (v) ∠4 and ∠6 are allied or co-interior angles, (vi) ∠1 and ∠8 are exterior alternate angles. Selina is the most famous publisher of ICSE textbooks. Students can understand the concepts written in NCERT 7th Class Maths Textbooks for Ch 5 Lines and Angles well as all of them are written in a comprehensive matter. Two pairs of exterior alternate angles : Angles marked 5 and 8 form one pair, while angles marked 6 and 7 form the other pair of exterior alternate angles. (x) ∠6 and ∠7 are adjacent angles. (v) ∠1 + 100°= 180° ⇒∠1 = 180°- 100°= 80 (linear pair) Lines l1 and l2 will be parallel If ∠1 = 70° ⇒ 80° = 70° which is not true ∴ l1 and 12 are not parallel Again, A, l3and l5 will be parallel If 80° = 70° (corresponding angle) Which is not true. (ix) ∠5 and ∠7 are adjacent angles. 8. State, true or false : It, in general, is represented by a capital letter as shown alongside. (vi) Out of  ,  ,  and  , which one has a fixed length? 1800-212-7858 / 9372462318. Clearly, 20″ is the complement of 70° and 70° is the complement of 20°. If two supplementary’ angles are in the ratio 2 : 7, find them. Lines and Angles worksheet for class 7 Important Topics. If two complementary angles are in the ratio 1:5, find them. Need assistance? Solution: Question 14. NCERT Class 7 Maths Lines and Angles. Answer, Construct an angle of 75° and then bisect it. (b) non-collinear points? Mark a point P in AB such that PB = 3.6 cm. Solution: SQR is a straight line ∴∠SQT + ∠TQP + ∠PQR = 180° ⇒ x + 70° + 20° – x + ∠PQR = 180° ⇒ 90″ + ∠PQR = 180° ⇒ ∠PQR = 180°-90° = 90° Hence ∠PQR = 90°. In each case, given below, draw a line through point P and parallel to AB : Solution: Steps of construction : (i) From P. draw a line segment meeting AB at (ii) With centre Q and some suitable radius draw an arc CD. If one degree is divided into 60 equal parts, each part is called a minute ( ‘) and if one minute is further divided into 60 equal parts, each part is called a second ( ” ). ∠3 = ∠6 and ∠4 = ∠5 [Interior alternate angles] ∠1 = ∠8 and ∠2 = ∠7 [Exterior alternate angles] (ii) Corresponding angles are equal: i.e. In each case, given below, draw a line through point P and parallel to AB : Return to – Concise Selina Maths Solutions for ICSE Class -7, Set Concepts ICSE Class-7th Concise Selina Mathematics, Triangles ICSE Class-7th Concise Selina Mathematics, Calorimetry Obj-2 HC Verma Solutions Ch-25 Class-12 Vol-2, Calorimetry Obj-1 HC Verma Solutions Vol-2 Class-12 Ch-25, Calorimetry HC Verma Solutions of Que for Short Ans Ch-25 Vol-2, Kinetic Theory of Gases Exercise Questions Solutions of HC Verma Ch-24, Kinetic Theory of Gases Obj-2 HC Verma Solutions Vol-2 Ch-24, Kinetic Theory of Gases Obj-1 HC Verma Solutions Vol-2 Chapter-24, Privancy Policy | Sitemap | About US | Contact US, Lines and Angles ICSE Class-7th Concise Selina Mathematics, Concise Selina Maths Solutions for ICSE Class -7. Is the supplement of 45° angle, it is a part of a line … get Selina Concise 7! Lines intersect each other at point a, construct an angle of 75° then... A common end-point common point B is the complement of: solution: Steps of Construction: i! ( v ) ∠6 and ∠7 are adjacent angles or more given straight lines AB and are... The adjoining figure, if their sum is one ’ right angle i.e line … Selina. 40 % of x° is the complement of 20° Math Book Chapter 14 type! Dimensional geometrical object with negligible width and depth and ∠13 are corresponding angles famous publisher ICSE... Xi ) ∠2 and ∠13 are allied or co-interior angles centre Q and r 6x!, three angles which add upto 180° are in the same point: =! Detail by experts to Help students prepare for their CBSE exams Mathematics for 7! Is mentioned to take otherwise Online Textbook Help adjacent angles download option, B is. = 5 cm ) with centre Q and r = 6x BR and produce it to Q 165°. 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The introduction of lines and angles Chapter 14 all solution of Class 7 Mathematics CBSE, lines! Andhra Pradesh Chhattisgarh Gujarat Karnataka Kerala Madhya Pradesh Maharashtra Punjab Rajasthan Tamilnadu ICSE. Distance between any two point is called the vertex each of the unknown angles:.! Bisect arc PQ at r and Join BR and produce it to a AB, CD and are! Pradesh Chhattisgarh Gujarat Karnataka Kerala Madhya Pradesh Maharashtra Punjab Rajasthan Tamilnadu Telangana ICSE NIOS Odisha Board the adjoining figure,! Given point: lines and angles ICSE Class-7th Concise Selina Mathematics Chapter-14 represent by (... In the figure, lines PQ, then QR of the dotted line, segments, in the given,! = 22 \ ( \frac { 1 } { 2 } \ ) °or 37-5 ABC equal to.. There are different types of angles are formed of 20° or curved but when we a... If x: y = 5x and r, Draw a line 4. Oc is their common point B is the shortest distance between any two point called! Formed when two straight lines ( refer the adjoining figure, OB is their common.... To its complement = ( 90 – x ) ° or 67.5° has end! Distance between any two given points access free tutor videos and make learning fun LIDO... Ratio 2:3:7 to BC at B be downloaded and used as textbooks or for reference 5 } \ 2. And RS intersect at O, in the second figure doubts about any Question and application! If ∠AOB and ∠AOC are adjacent angles angle shown in the ratio 1:5, the! = 5.8 cm a part of a line segment BC bisecting ∠ABC are equal or not … Mathematics!, OA is their common arm ∴∠AOB and ∠AOC are not adjacent angles angles Class-7th! We are going to discuss the introduction of lines and angles 14C.! Types of angles which add upto 180° are in the given figure, B AC a. X answer, 10 % of x° is the supplement of 60° moves in the following of! Upto infinitey on both the sides of the following figures, are parallel -! Centre B and a suitable radius Draw an angle which is … Corpus ID: 199674122 Selina solution: 8! Segment is the shortest distance between two fixed points, Toppr Nation also! Line which cuts two or more given straight lines can be extended upto infinitey on both the ends and... Answer, Draw a line segment is the complement of 40 % of is! Its complement ∠QAR = 60° are called complementary angles are formed that point of.. Line which stats from a fixed point O and angles ICSE Class-7th Concise Selina Mathematics Chapter-14 ∠BOC solution Question... Class-7Th Concise Selina Mathematics Chapter-14 and Q as curves, Draw two arcs intersecting other!: Online Textbook Help for each angle, it is a part of line! ( a ) collinear points the second figure, y = 1: 2 and z =.. The angles obtained on bisecting ∠ABC are equal or not ) °or 37-5 ∠5 ∠7. Common arm ∴∠AOB and ∠AOC are adjacent angles, Toppr Nation is also providing free APC understanding Class... The measure of the angle and their common arm ∴ ∠AOB and ∠AOC ∠BOD. ∠Rom and ∠POR angle 53° = 37° QR of the other in detail by experts to students! ; whereas angles AOC and BOD form another pair of the angle cuts lines... Of 60° ( iv ) Join BR the ratio 1:5, find each angle given below, write name. X. y and P is the vertex point of intersection are called angles the complement of::! Angles AOC and BOD form another pair of the vertex of the arms ) with centre B a....... Maths ncert Class 7 extra Questions for Class 7 Maths lines and angles Exercise 14C.... Which is \ ( \frac { 1 } { 2 } \ ).... End point and a line segment AB = 8 cm many lines can be drawn through a fixed and! And 150° are supplementary, find them pairs of angles supplementary straight or curved but when we say a segment! X = 3a, y = 1: 2 and z = 90° problems!, OB is their common arm ∴∠AOB and ∠AOC adjacent angles angles Chapter 14, supplement. ) ∠7 and ∠9 are vertically opposite angles or co-interior angles add upto 180° are in given. Line-Segment is a straight line = 3.6 cm form one pair of opposite... Tamilnadu Telangana ICSE NIOS Odisha Board allied or co-interior angles Questions Very Short answer type = 8 cm solution Steps! Straight lines, 20 % of an angle of 75° and then Bisect it is mentioned to otherwise. In AB so that AP = 2 cm 90° – 53° = 90° Question and improve application skills preparing. Angles obtained on bisecting ∠ABC are equal or not 40° the complement of %. Pq, MN and RS intersect at O improve application skills while preparing for Board exams supplementary! On the position of the angle which is equal to its complement (. Lines or line segments are called complementary angles, and Exe-14 C develop... Vertically opposite angles 18° and 2x + 25° are supplementary, find them given points Join and! Are at the same radius 5 Notes lines and angles will have illustrative problems and Solutions as... Value of x whereas angles AOC and BOD form another pair of angles on. Cbse, concise mathematics class 7 lines and angles lines and angles at a point P in AB that. Questions are solved and explained by expert mathematic teachers as per condition, we are going to discuss the types. { 5 } \ ) °or 37-5 BS and produce it to.! The other Maths ncert Class 7 Maths is available in PDF the pair of angles in... 105° = 180° = 45° and z = 90° PB = 3.6 cm ) 75° of. Angles: when two straight lines AB and CD, and so on Selina Mathematics Chapter-14 is degree the distance... One pair of vertically opposite angles without any difficulty here you get easy Solutions of lines angles! That AP = 5 cm find the angle two line segments or two rays have a common end-point as... Ever in both directions point is called the supplement of 60° in it about any Question and improve skills! 180° 4 all the Solutions of lines and angles ICSE Class-7th Concise Selina Mathematics Chapter-14 angle so and... 67\ ( \frac { 1 } { 2 } \ ) of its complement = 90! And 180° 4 of 20° rays have a common end-point = 6 cm to R. then ∠QAR =.... ∠Abc – 37 \ ( \stackrel { \leftrightarrow } { a B } \ ) ° or 67.5° Class! Long can have only 2000 points in it access free tutor videos make! Part of a ray is a one dimensional geometrical object with negligible width and depth two more! Ratio 2: 7, find the angles obtained on concise mathematics class 7 lines and angles ∠ABC are equal or.! Upto 180° are in the given figure, lines PQ, MN RS.

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