Question

In a parallelogram ABCD,if angle A =(2x+45) and angle C=(3x-35). Find angle A and angle B.

Answer 1

we know that in a parallelogram opposite angles are equal in measure
so, angle A = angle B
2x+45=3x-35
3x-2x=45+35
x=80
so, angle A= 2x+45
=2×80+45
=145
now, we have sum of adjacent angles of a parrellelogram is supplementary
angle A +angle B=180
145+ angle B=180
angle B = 180- 145
= 35
so, angleA = 145
angle B = 35