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

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

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Given : Two adjacent angles of a parallelogram have equal measure = \angle A= \angle B.

 \angle A+ \angle B =180\degree                 ( adjacent angles of a parallelogram are supplementary)

      2\times \angle A =180\degree

              \angle A =90\degree

\therefore   \angle A=\angle B =90\degree

 \angle A=\angle C =90\degree and \angle B=\angle D =90\degree     ( Opposite angles of parallelogram are equal)

Hence,\angle A=\angle B=\angle C=\angle D =90\degree

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