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?

Guest Nov 27, 2018

#1**0 **

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

ElectricPavlov Nov 27, 2018