Answer:
m∠P=140°
Step-by-step explanation:
Given:
∠P and ∠Q are supplementary angles.
The measure of angle P is five less than four times the measure of angle Q.
To find m∠P
Solution:
The measure of angle P can be given as:
A) 
And
B)
[Definition of supplementary angles]
Substituting equation A into B.

Solving for 
Using distribution:

Simplifying by combining like terms.

Adding 20 to both sides.


Dividing both sides by 5.


Substituting
in equation B.

Subtracting both sides by 40.


Thus, we have:
m∠P=140° (Answer)