Two adjacent angles of a parallelogram have equal measure. find the measure of each of the angles of the parallelogram.
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Let ABCD be the parallelogram with ∠A = ∠B.We know: Sum of adjacent angles = 180°∠A + ∠B = 180º2∠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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every angle is equal to 90°.
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