Question

Two opposite angles of a parallelogram are (5x-4)degree and (48+x)degree. Find the measure of each angle of the parallelogram

Answer 1

5x-4=48+x (Opposite angles of parallelogram are equal)

5x-x=48+4

4x=52

x=13

Angles are 61°,61°

Let the other opposite angles be y

y+y+61+61=360 (Sum of all angles of quadrilateral is 360)

2y+122=360

2y=238

y=119

Other angles are 119° 119°

All angles are 61° 119° 61° 119°