two adjacent angles of a parallelogram are equal , find the measure of all the angles what is the name of this parallelogram?
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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.
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Answer:
it's is a rectangle.
thanks
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