1. Two opposite angles of a parallelogram are (3x – 2)° and (50 – x)°. Find the measure
of each angle of the parallelogram.
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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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