Question

Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angle of the parallelogram.

Answer 1

We know that adjacent angles of paralellogram are suplementry.....

Let each of them be a

a + a = 180

=> 2a = 180

=> a = 90°

Measure of each angle = 90°

Answer 2

Sum of adjacent angles = 180°

∠A + ∠B = 180º

2∠A = 180º (∠A = ∠B)

∠A = 90º

∠B = ∠A = 90º

∠C = ∠A = 90º (Opposite angles)

∠D = ∠B = 90º (Opposite angles)

Thus, each angle of the parallelogram measures 90º.