larger of 2 supplementary angles exceeds 7 x's smaller by 4

[curt l.]

The larger of 2 supplementary angles exceeds 7 x's the smaller by 4. Find the measure of the larger angle.

Any help would be greatly appreciated. curt l.

 

[Mrspi]

Re: Supplementary Angles

The larger of 2 supplementary angles exceeds 7 x's the smaller by 4. Find the measure of the larger angle.

Any help would be greatly appreciated. curt l.

Since you are looking for the larger angle, it makes sense to
let x = measure of larger angle

Now, we know that the angles are supplementary and their measures must add up to 180, so
180 - x = measure of smaller angle

We know that the larger exceeds 7 times the smaller by 4. Or, in other words, you need to add 4 to 7 times the smaller angle to get the larger angle. So,

x = 7(180 - x) + 4

Solve that for x.....

 

[curt l.]

Thank You Mrs. Pi

Thank you for the assistance, Mrs. Pi. I am in an advanced Geo. class in ninth grade and just wanted to be sure I was doing it correctly. curt l.