The measure of angle p is five less than four times the measure of angle q. of angle p and angle q are supplementary angles, find angle p

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)

step-by-step explanation:

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