Question

Two adjacent angles of a parallelogram have equal measure, then measure of each angle is ​

Answer 1

Answer:

90 degree

Step-by-step explanation:

Two adjacent angles sum is 180 degree

As both the angles are equal

2angle x=180

angle x=180/2=90 degree

Answer 2

Answer:-

Hint – Let ABCD be a parallelogram with ∠A=∠B. Use the concept that the sum of adjacent angles is equal to 180 degrees.

Complete step-by-step solution

Refer to the figure below of parallelogram ABCD-

We have been given in the question that adjacent angles of a parallelogram are equal.

To find: Measure of each angle of the parallelogram.

Let ABCD be a parallelogram with ∠A=∠B.

Now, we know that: Sum of adjacent angles =180°

∠A+∠B=180°

Putting ∠A=∠B in the above equation, we get-

∠A+∠A=180°

⇒2∠A=180°

⇒∠A=∠B=90°

Now, we know the opposite angles of a parallelogram are equal.

Therefore, ∠C=∠A=90°(Opposite angles)

And also, ∠D=∠B=90°(Opposite angles)

Thus, each angle of the parallelogram measures 90°

Thus, the parallelogram with each angle 90 degrees