Ex 3.3, 6 - Chapter 3 Class 8 Understanding Quadrilaterals

Last updated at April 16, 2024 by

Ex 3.3, 6 - Two adjacent angles of a parallelogram have equal measure

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

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Ex 3.3, 6 Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.Let parallelogram be ABCD where ∠ A = ∠ B Let ∠ A = ∠ B = x Now, In parallelogram Opposite angles are equal ∠ C = ∠ A ∠ C = x ∠ D = ∠ B ∠ D = x From (1), (2) and (3) ∠A = ∠B = ∠C = ∠D = x We know, Sum of all the angles of a quadrilateral is 360° ∠A + ∠B + ∠C + ∠D = 360° x + x + x + x = 360° 4x = 360/4 x = 90° ∴ ∠A = ∠B = ∠C = ∠D = x = 90° Thus, each angle is 90°

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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.