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Two adjacent angles of parallelogram have equal measure.find the measure of each of the angles of the parallelogram?
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Two adjacent angles of parallelogram have equal measure.find the measu...
Let ABCD be the parallelogram with ∠A = ∠B.
We know: Sum of adjacent angles = 180�
∠A + ∠B = 180�
2∠A = 180� (∠A = ∠B)
∠A = 90�
∠B = ∠A = 90�
∠C = ∠A = 90� (Opposite angles)
∠D = ∠B = 90� (Opposite angles)

Thus, each angle of the parallelogram measures 90�.
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