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?
The consecutive angles of a parallelogram are supplementary ---> angle(P) + angle(Q) = 180o
angle(P) = 5 · angle(Q) ---> 5 · angle(Q) + angle(Q) = 180o
6 · angle(Q) = 180o
angle(Q) = 30o
---> angle(P) = 150o
Since the opposite angles of a parallelogram are congruent ---> angle(R) = angle(P) = 150o