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Two Adjacent Angles of a Parallelogram Have Equal Measure. Find the Measure of Each of the Angles of the Parallelogram. - CBSE Class 8 - Mathematics

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Question

Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.

Solution

Sum of adjacent angles = 180°

∠A + ∠B = 180º

2∠A = 180º (∠A = ∠B)

∠A = 90º

∠B = ∠A = 90º

∠C = ∠A = 90º (Opposite angles)

∠D = ∠B = 90º (Opposite angles)

Thus, each angle of the parallelogram measures 90º.

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 3: Understanding Quadrilaterals
Ex. 3.30 | Q: 6 | Page no. 51

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Solution Two Adjacent Angles of a Parallelogram Have Equal Measure. Find the Measure of Each of the Angles of the Parallelogram. Concept: Kinds of Quadrilaterals - Elements of a Parallelogram.
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