Question

In a IIgm ABCD , if angle A = ( 2x+25)° and angle B = (3x - 5)°, find the value of x and the measure of each angle of the parallelogram ​​

Answer 1

Step-by-step explanation:

Consecutive angle are supplementary.

angle A + angle B = 180°

=> 2x + 25 + 3x - 5 = 180°

=> 5x +20 = 180°

=> 5x = 160°

=> x = 32°

And angle A = (2x + 25)° = 64 + 25 = 89°

and, angle B = (3x-5)° = 96 - 5 = 91°

And opposite angle in parallelogram are equal.

So , angle A = angle C = 89°

angle B = angle D = 91°