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Question

Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.


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Solution

Find the measure of each angle of the parallelogram.

LetABCD be the parallelogram with A=B.

The sum of adjacent angles of a parallelogram is180°.

A+B=180°2A=180°[A=B]A=1802A=90°B=A=90°A=C=90°[Oppositeanglesofparallelogram]B=D=90°[Oppositeanglesofparallelogram]

Each angle of the parallelogram measures is 90°.


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