Question

b. One pair of opposite angles in a parallelogram measures (3x – 2)° and (50 – x)º. Find all
the angles of the parallelogram.​

Answer 1

Step-by-step explanation:

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

∘

Answer 2

Step-by-step explanation:

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

∘