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

Question

Two opposite angles of a parallelogram are (3 x -2)&#xB0; and (50- x )&#xB0;. Find the measure of each angle of the parallelogram.

Philoid · Accepted Answer

We know that opposite angles of a parallelogram are equal.

Therefore (3x-2)° = (50-x)°

3x-2° = 50°-x

3x°+ x = 50° + 2°

4x = 52°

x =

Measure of opposite angles are: 3x-2 = 3 × 13°-2 = 37°

(50-x)°= 50-13 = 37°

Sum of adjacent agles = 180°

Other two angles are 180°-37° = 143° each