Question

one of the adjacent angle of parallelogram is20 more than. the other. find all the angles of the parallelogram​

Answer 1

We know that , adjacent angles of a parallelogram are always supplementary.

now, let angle A be x , then angle B will be x+20

and since angle A and B are adjacent, they will be supplementary

so, x + x + 20 = 180°

2x + 20 = 180°

2x = 180 - 20

2x = 160

x = 160/2

x = 80° ( angle A )

x + 20 = 100° ( angle B )

angle A = angle C ( opposite angles of parallelogram are equal )

80° = angle C

angle B = angle D ( opposite angles of parallelogram are equal )

100° = angle D