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

Question

Philoid · Accepted Answer

We know,

Sum of adjacent angles = 180°

∠A + ∠B = 180^o

2∠A = 180^o (∠A = ∠B)

∠A = 90^o

∠B = ∠A = 90^o

∠C = ∠A = 90^o (Opposite angles of parallelogram)

∠D = ∠B = 90^o (Opposite angles of parallelogram)

Hence, each angle of the parallelogram measures 90^o