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Two adjacent angel of a parallelogram …

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Two adjacent angel of a parallelogram have equal measure. Find the measure of the angel of the parallelogram
  • 1 answers

Gaurav Seth 3 years, 8 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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