In parallelogram PQRS, angle P = (3x + 15) deg and angle Q = (2x + 25) deg, where P and Q are adjacent. Find the measure of angle R (in degrees).

Question

Accepted Answer

99°. P + Q = 180: (3x + 15) + (2x + 25) = 180, 5x + 40 = 180, 5x = 140, x = 28. Angle P = 3(28) + 15 = 99°. Angle R is opposite P, so R = 99°.

In parallelogram PQRS, angle $P = (3 x + 15)$ deg and angle $Q = (2 x + 25)$ deg, where $P$ and $Q$ are adjacent.
Find the measure of angle R (in degrees).