For parallelogram ABCD, angle A has the value of x degrees. Explain how to find the value of:

Question

For parallelogram ABCD, angle A has the value of x degrees. Explain how to find the value of:

a. a consecutive angle to angle A.

b. an opposite angle to angle A.

c. State the theorem used to find the value of the angle in question b.

Answer 1

Consecutive angles of a parallelogram are supplementary. So, the consecutive angle to angle A would equal 180 - x.

The opposite angles of a parallelogram are congruent. So the opposite angle to angle A would equal x.