Question

The measure of ∠P is five less than four times the measure of ∠Q. If ∠P and ∠Q are supplementary angles, find m∠P

Answer 1

m∠P = 143°

Explanation:

We know that supplementary angles add up to 180, and with the knowledge that angle P is 5 times than 4 less (5x-4) the measure of angle Q (x), we can set up the equation (4x-5)+(x)=180. We can then solve and get x = 37, and then we can plug X back into 5x-4 to get the angle of 143 degrees.