Question

8. Two opposite angles of a parallelogram are (3x + 4) and (5x - 2). Find the measure of all the angles of the parallelogram.​

Answer 1

Answer:

Correct option is

B

37

∘

,143

∘

,37

∘

,143

∘

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

∘