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

1.	ABCD is a parallelogram in which ∠A = 70°. Compute ∠B, ∠C and ∠D.
Answer» Given, one of the adjacent angle ∠A = 70^o Other adjacent angle ∠B be = x° We know that sum of adjacent angles = 180° x° + 70° = 180° x° = 180° – 70° = 110° ∠B = x° = 110° We know that measure of opposite angles are equal in a parallelogram. So, ∠A = ∠C = 70° And ∠D = ∠B = 110°

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

Answer»

Given, one of the adjacent angle ∠A = 70^o

Other adjacent angle ∠B be = x°

We know that sum of adjacent angles = 180°

x° + 70° = 180°

x° = 180° – 70°

= 110°

∠B = x° = 110°

We know that measure of opposite angles are equal in a parallelogram.

So, ∠A = ∠C = 70°

And ∠D = ∠B = 110°