Question

Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angels of the parallelogram

Answer 1

Answer:

Since it is a parallelogram therefore

I. opposite sides of a parallelogram are parallel and equal.

II. Opposite angles of a parallelogram are also equal.

ATQ,

Let the equal angles be x

x+x=180° (co-interior angles)

2x=180

x=90°

therefore each angle of the parallelogram is 90°.