Question

The measure of one angle of a parallelogram is 80°. find the measurement of remaining angles.

Answer 1

Step-by-step explanation:

Let the name of angles of parallelogram be angle 1 angle 2 angle 3 and angle. 4

Also angle 1 = angle 2

And angle 3 = angle 4[both are opposite angle of parallelogram and they are equal]

And angle 1 and 3

Angle 4 and 2 are supplementary

Now

As we all know

Angle 1 is 80°

Angle 1= 2= 80°

And angle 3 + 2=180[given]

Now

Angle 3+ 80° = 180° (as angle 2 is 80°)

Angle 3 = 180° - 80°

Angle 3 =100°

Thus angle 3 =angle 4 = 100°(as angle 3 and 4are opposite angles of parallelogram )

Hence the angles are

80°, 80°, 100°, 100°