In a parallelogram abcd,if angle a =(2x+25) and angle b = (3x_5),find the value of x and the measures of each angle of the parallelogram

Answer 1

The opposite angles are equal:

A = C = 2x+25, B = D = 3x-5.

2(2x+25) + 2(3x-5) = 360.
4x+50 + 6x-10 = 360, X = 32.

A = C = 64+25 = 89o, B = D = 96-5 = 91.