Question

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

Answer 1

let two adjacent angles =x,x
so,x+x=180
2x=180
x=90
therefore the measure of each is 90°
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Answer 2

We know that, in a parallelogram, sum of each pair of adjacent angles is equal to 180°.  Here, two adjacent angles are congruent, which means that they are equal.   Taking the measure of each congruent angle to be x°, we get x°+x°=180°  Hence, 2x°=180° On symplifying, x=90°  Therefore the measure of each angle of the parallelogram is 90°. Hence, it is a rectangle.