Question

Two adjacent angles of parallelogram are equal .Find the measures of all angles of the parallelogram

Answer 1

Here is your answer > >
Let the equal angles be x
therefore All angles will be x because the opposite angles of a parallelogram are equal.
Sum of all angles of a parallelogram = 360
So, x+x+x+x=360
4x=360
x=360/4
x=90
Therefore, all angles of a parallelogram = 90
Hope it helps !!

Answer 2

Answer:

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

We know: Sum of adjacent angles = 180°

∠A + ∠B = 180º

2∠A = 180º (∠A = ∠B)

∠A = 90º

∠B = ∠A = 90º

∠C = ∠A = 90º (Opposite angles)

∠D = ∠B = 90º (Opposite angles)

Thus, each angle of the parallelogram measures 90º.