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If two adjacent angles of a …

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If two adjacent angles of a parallelogram are equal ,then find the measure of each angle . Give special name to the parallelogram.

Posted by Rishabh Rai 5 years, 3 months ago

CBSE > Class 08 > Mathematics

1 answers

Gaurav Seth 5 years, 3 months ago

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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