Question

two adjacent angles of a parallelogram are congruent what is the measure of each

Answer 1

hi dear.
adjacent angles of parallelogram are suplimentary .
so let angle be x
x + x = 180
2x = 180
then the value of x is 90 degree.
so the given parallelogram is rectangle.
I hope you get the ans.
THANK YOU.

Answer 2

Hi ,

Let a , b two adjacent angles of a

Parallelogram ,

a + b = 180° [ since sum of adjacent angles in a parallelogram is supplementary ]

a + a = 180 [ since a = b given ]

2a = 180

a = 180/2

a = 90°

Therefore ,

a = b = 90°

It is a rectangle .

I hope this helps you.

:)