<P and <Q are supplementary angles. If m<P = (4x + 1) and m<Q = (9x - 3), find m<Q

Answer 1

Hi,Candido!

First of all, let’s review what supplementary means. Supplementary means angles that have a sum of 180. For example, 100 and 80 are supplementary bc when added together the sum is 180.

So you have two angles: < P and < Q and since they’re supplementary, you also know this: <P + < Q =180

Here’s what else you know:

< P = (4x+1)

< Q= (9x-3)

Therefore:

<P + <Q = 180

replace <P and <Q

(4x+1) + (9x-3) = 180

Combine like terms

13x -2 = 180

Solve for x

13x=182

Find x. Then replace x into (9x-3) ——> 9( ) - 3

That will give you the measure of angle Q.

I hope this helps!

Mrs. S