Question

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

Answer 1

$\huge \text{Answer:}$

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∘