Question

Two adjacent angle of a parallelogram have equal measures.Find the measure ​

Answer 1

Step-by-step explanation:

Let ABCD be the parallelogram with ∠A = ∠B.

We know: 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.

Answer 2

Now, we know that: Sum of adjacent angles =180∘. Now, we know the opposite angles of a parallelogram are equal. Thus, each angle of the parallelogram measures 90∘.

Hope u understand...