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

Question

Philoid · Accepted Answer

Let ∠A, ∠B are the two adjacent angles.

According to question,

∠A = ∠B

As we know that, sum of any two adjacent angles of a parallelogram is 180°

∠A + ∠B = 180°

∠A + ∠A = 180°

2∠A = 180°

∠A = 90°