Answer:
Angle Q: 67 degrees
Angle P: 113 degrees
Step-by-step explanation:
You can write an equation to solve this. We know that angle P + angle Q = 180. If we substitute angle Q into the second equation we get angle P = 2*angle Q -21.
Plugging that knowledge into the first equation, we get 2*angle Q-21 + angle Q =180. Simplifying, we get 3* angle Q -21 = 180. Adding 21 to both sides gives us 3*angle Q = 201, dividing by 3 gives us angle Q = 67. 180-67= 113 so angle P is 113.