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In parallelogram ABCD, find ∠B, ∠C and ∠D. - Mathematics

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Question

In parallelogram ABCD, find ∠B, ∠C and ∠D.

Sum

Solution

In a parallelogram, the opposite angles are equal, therefore ∠C = ∠A = 80°

Also, adjacent angles are supplementary.

∴ ∠A + ∠B = 180°

80° + ∠B = 180°

∠B = 180° – 80°

⇒ ∠B = 100°

Now, ∠B = ∠D

∴  ∠D = 100°

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Chapter 5: Understanding Quadrilaterals and Practical Geometry - Exercise [Page 156]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 5 Understanding Quadrilaterals and Practical Geometry
Exercise | Q 146 | Page 156
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