if the opposite angles of a parallelogram are (3x-5)degree and (51-x)degree find the measures of each angles
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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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