Question

Two adjacent angles of a parallelogram are equal. What is the measure of each of these angles?

Answer 1

Let ∠A and ∠B are two adjacent angles.

But we know that sum of adjacent angles of a parallelogram is 180^o

∠A + ∠B = 180^o

But given that ∠A = ∠B

Now substituting we get

∠A + ∠A = 180^o

2∠A = 180^o

∠A =180/2 = 90^o