two addjicent angles of a parallogarm are of equal measure. the measure of each angel of the parallelogram is ............ degrees
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Answer:
Let ABCD be the parallelogram with ∠A = ∠B.
Step-by-step explanation:
: 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
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