jmc

Question

In parallelogram PQRS, the measure of angle P is five times the measure of angle Q. What is the measure of angle R, in degrees?

Accepted Answer

Consecutive angles in a parallelogram are supplementary, while opposite angles are equal. So P + Q = 180 = 5Q + Q, implying that Q = 30. Thus P = 150 = R, and we are done.