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

Solution:

Given, ABCD is a parallelogram.

We have to find ∠B, ∠C and ∠D.

Given , ∠A = 80°

We know that the consecutive angles are supplementary.

So, ∠A + ∠B = 180°

80° + ∠B = 180°

∠B = 180° − 80°

∠B = 100°

We know that the opposite angles of a parallelogram are equal.

So, ∠C = ∠A

∠C = 80°

Similarly, ∠B = ∠D

∠D = 100°

Therefore, the measures of ∠B, ∠C and ∠D are 100°, 80° and 100°.

✦ Try This: In Rhombus ABCD, find ∠B, ∠C and ∠D

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 146

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

Summary:

In parallelogram ABCD, the measures of ∠B, ∠C and ∠D are 100°, 80° and 100°.

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