Question

Two adjacent angle of the parallelogram have equal measure Find the measure of each of the angles of the parallelogram
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Answer 1

Answer:

Angle =90°

Step-by-step explanation:

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

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.