Question

two adjacent angels ofa parallelogram are congruent .what is the measure of each?

Answer 1

let ABCD be given parallelogram
Let A and B be the given angles

we know that sum of adjacent angles of a parallelogram is 180°

A/q. angles are congruent
so, A=B
A+B= 180°
2A=180°
A=180°/2=90°

Now, A=C
and, A=B
and, B=D


so, measure of each angle is 90°


hope it is useful