A parallelogram has angles A and B as supplementary angles. The measure of angle A is 74 degrees more than angle B. What is the measure of angle A?
A) A = 53 degrees
B) A = 67 degrees
C) A = 82 degrees
D) A = 127 degrees
E) A = 113 degrees

Question

Quizplus · Accepted Answer

Since angles A and B are supplementary, their sum is 180 degrees. Let angle B = x degrees. Then, angle A = x + 74 degrees. The equation is x + (x + 74) = 180. Solving for x gives x = 53 degrees for angle B, making angle A = 53 + 74 = 127 degrees.

A Parallelogram Has Angles a and B as Supplementary Angles