Question

If two opposite angles of a
parallelogram are (2x + 3º) and
(3x - 12°) then one of these
opposite angle is equal to
degree. please and​

Answer 1

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∘

Answer 2

Answer:

Step-by-step explanation:

In a parallelogram, opposite angles are equal. Therefore the other two angles are also 3x-12 degrees and 52+x degrees.

We also know sum of all the angles in any quadrilateral is 360 degrees.

Hence, 2(3x-12) + 2(52+2x) = 360.

Simplifying, 10x+80=360

10x = 280 so x=28. Substitute in the expression of the angles.

We get the angles of the quadrilateral as 72, 72, 108 and 108 all in degrees.