Question

two adjacent angles of a parellogram have equal measure find the measure of each of the angles of the parellogram​

Answer 1

Answer:

90°

Step-by-step explanation:

In any parallelogram, sum of adjacent angles are 180° and opposite angles are equal. Since adjacent angles are equal. one of them is 90°. So each of all the 4 angles of that parallelogram are 90°. that is the given figure is a rectangle

Answer 2

let, the parallelogram be ABCD

two adjacent angles be angle A and angle B

so let the A be =x

A=angle B (given)

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

angle B = angle D. (same reason opposite angles.....)

Hence, all angles becomes equal.

so, angle A = B =C = D= x

A+B+C+D=360degree (angle sum property of quadrilater )

x+x+x+x = 360

4x = 360

x = 360/4

x = 90

Hence, each angle is equal to 90 degree.