Question

In a parellologram ABCD . If Angle A is 4/5 of Angle B . What is the measure of Angle A​

Answer 1

In a parallelogram ABCD, ∠A = ⅘∠B

We know that,

∠A + ∠B = 180°

⅘∠B + ∠B = 180°

∠B(1 + ⅘) = 180

9/5∠B = 180°

∠B = 180 × 5/9

∠B = 100°

∠B = 100° & ∠A = 80°