In a parallelgram ABCD adjacent angles angleA and angle B are supplement.Given reasons
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if it is a parallelogram then
AD and BC will be parallel,
By interior angle theorem
angle A + B = 180
therefore angle A and B are supplementry
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n a parallelogram, opposite angles have equal lengths, and so in each parallelogram there are two pairs of equal angles. In a parallelogram, the angles add up to 360˚. Since there are two pairs of angles and one of each pair is on each side, adjacent angles are supplementary (their sum makes 180˚). therefore since angle A and angle B are adjacent, they are supplementary
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