Question 3 7 (a) - Polygons - Chapter 3 Class 8 Understanding Quadrilaterals

Last updated at Dec. 16, 2024 by

Ex 3.1, 7 - (a) Find x + y + z (b) Find x + y + z + w - Ex 3.1

Ex 3.1, 7 - Chapter 3 Class 8 Understanding Quadrilaterals - Part 2
Ex 3.1, 7 - Chapter 3 Class 8 Understanding Quadrilaterals - Part 3

 

 

 

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Ex 3.1, 7 (a) Find x + y + zGiven, ∠PAR = x ∠BAC = 90° ∠ABC = 30° ∠ABQ = Z ∠BCR = y PAB is a line ∠PAR + ∠BAC = 180° x + 90° = 180° x = 180° − 90° x = 90° QBC is a line ∠ABQ + ∠ABC = 180° z + 30° = 180° z = 180° − 30° z = 150° In ∆ ABC Sum of the angles = 180° ∠BAC+ ∠ABC + ∠ACB = 180° 90° + 30° + ∠1 = 180° 120° + ∠1 = 180° ∠ 1 = 180° − 120° ∠ 1 = 60° Now, AR is a line ∠BCR + ∠ACB = 180° y + 60° = 180° y = 180° − 60° y = 120° Thus, x = 90° , y = 120° , z = 150° Hence, x + y + z = 90° + 120° + 150° = 360°

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo