Ex 3.3, 2 - Chapter 3 Class 8 Understanding Quadrilaterals - Part 9

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Ex 3.3, 2 - Chapter 3 Class 8 Understanding Quadrilaterals - Part 10

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  1. Chapter 3 Class 8 Understanding Quadrilaterals
  2. Serial order wise

Transcript

Ex 3.3, 2 Consider the following parallelograms. Find the values of the unknowns x, y, z. Let the parallelogram be ABCD where ∠ B = 112° and ∠DAC = 40° We know that Opposite angles of a Parallelogram are equal ∠A = ∠C y = 112° In ∆ ABC, Sum of angles = 180° y + 40° + x = 180° 112° + 40° + x = 180° 152° + x = 180° x = 180° − 152° x = 28° Also, Sum of Adjacent angles of a Parallelogram is 180° ∠A + ∠B = 180° ∠DAC + ∠BAC + ∠B = 180° 40° + z + 112° = 180° z + 152° = 180° z = 28° Therefore, x = 28°, y = 112° and z = 28°

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.