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Ex 3.3, 2 - Chapter 3 Class 8 Understanding Quadrilaterals - Part 5

Ex 3.3, 2 - Chapter 3 Class 8 Understanding Quadrilaterals - Part 6


Transcript

Ex 3.3, 2 Consider the following parallelograms. Find the values of the unknowns x, y, z. (iii)Let the Parallelogram be ABCD where ∠BCO = 30° and ∠AOD = 90° Now, AC and BD intersect each other at O x = 90° In ∆BOC, Sum of all angles = 180° y + x + 30° = 180° y + 90° + 30° = 180° y + 120° = 180° y = 180° − 120° y = 60° Now, ABCD is a parallelogram ∴ AD ∥ BC and BD is a transversal , ∠ODA = ∠OBC z = y z = 60° Therefore, x = 90°, y = 60° and z = 60°

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.