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

P=143

Step-by-step explanation:

So, we know that P and Q are supplementary angles. In other words:

We also know that P is 5 less than 4 times Q. Thus:

Substitute the second equation into the first:

Find Q. Combine like terms:

Add 5 to both sides:

Divide both sides by 5:

So, Q is 37 degrees.

Q and P are supplementary, which means that P is 180-37 or 143 degrees.

And we're done!

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