SOLUTION: PLEASE HELP ME WITH THIS QUESTION!! it is really confusing. I NEED ANSWER FOR MY TEACHER. SHE WANTS TO KNOW. 1Q: Two angles are complementary and in the ration of 1:5. Find the m

Algebra ->  Angles -> SOLUTION: PLEASE HELP ME WITH THIS QUESTION!! it is really confusing. I NEED ANSWER FOR MY TEACHER. SHE WANTS TO KNOW. 1Q: Two angles are complementary and in the ration of 1:5. Find the m      Log On


   



Question 90541: PLEASE HELP ME WITH THIS QUESTION!! it is really confusing. I NEED ANSWER FOR MY TEACHER. SHE WANTS TO KNOW.
1Q: Two angles are complementary and in the ration of 1:5. Find the measure of each angle.
2Q: The larger og two complementary angles is 30 degrees less than twice the smaller. Find the measure of each angle.
THANK YOU!!!

Answer by vertciel(183) About Me  (Show Source):
You can put this solution on YOUR website!
Hello there,
1. Let's express the smaller angle as "s", since it's smaller. The ratio is 1:5 so you would set up the following equation:
s + 5s = 90 (complementary angle = 90°)
In this case, s would be the smaller angle, and 5s would be the larger angle. I'll leave it to you now.

2. We will denote "s" as the smaller angle and "L" as the larger angle".
s = s
L = 2s - 30
They are complementary so s + L = 90.
There you are.