Q11 One pair of opposite angles in a parallelogram
measures (3x-2) and (50-x). Find
all the angles of the parallelogran.
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Answer:
Since opposite angles of a parallelogram are equal. Therefore,
3x−2=50−x⇒x=13
(3x−2)
∘
=3(13)−2=37
∘
The measures of the adjacent angles of a parallelogram add up to be 180 degrees, or they are supplementary.
Another angle =180−37=143
∘
The measure of each angle of the parallelogram.
37
∘
,143
∘
,37
∘
,143
∘
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