Question

A parallelogram has one angle that measures 56°. What are the measures

of the other three angles in the parallelogram?

Answer 1

angle A = 124 degrees, angle D = 124 degrees, angle C = 56 degrees

Explanation:

1. apply that opposite angles in a parallelogram are congruent

measure of angle A = measure of angle C

measure of angle B = measure of angle D

2. given the measure of angle A = 56 degrees, angle C is also 56 degrees

angle A = angle C = 56 degrees

3. calculate the measure of angle A

measure of angle A + 56 degrees = 180 degrees

4. subtract 56 from both sides

measure of angle A = 124 degrees

5. measure of angle A = measure of angle D

angle A = angle D = 124 degrees

answer:

angle A = 124 degrees

angle D = 124 degrees

angle C = 56 degrees