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?
Sum of angles in a parallelogram = 360 degrees
Opposite angles are = so p = r
and P = 5Q
All of the angles added together = 360 degrees
5Q +Q + 5Q + Q = 360 Solve for Q
12Q = 360 Q = 30 degrees
then P = 5Q = 5(30) = 150 degrees and P = R so R = 150 degrees