Question

the measures of two adjacent angles of parallelogram have equal measure. find the measure of the angles each of following parallelogram.​

Answer 1

Answer:

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.

Step-by-step explanation:

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