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Abcd is a Parallelogram in Which ∠A = 70°. Compute ∠B, ∠C and ∠D . - Mathematics

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Question

ABCD is a parallelogram in which ∠A = 70°. Compute ∠B, ∠C and ∠D .

Solution

In a parallelogram ABCD.

`∠`A = 70°

`∠`A = `∠`B = 180°       [ ∴ Adjacent angles supplementary]

70° + `∠`B = 180°         `∠`A = 70°]

`∠`B =180° - 70°

=110°

In a parallelogram opposite sides are equal

`∠`A = `∠`C = 70°

`∠`B = `∠`D = 110°

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Chapter 13: Quadrilaterals - Exercise 13.2 [Page 20]

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RD Sharma Mathematics [English] Class 9
Chapter 13 Quadrilaterals
Exercise 13.2 | Q 6 | Page 20

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