SOLUTION: The measure of two complementary angles have a ratio of 2 : 7. What is the measure of the smallest angle?

Algebra ->  Angles -> SOLUTION: The measure of two complementary angles have a ratio of 2 : 7. What is the measure of the smallest angle?      Log On


   

Question 828105: The measure of two complementary angles have a ratio of 2 : 7. What is the measure of the smallest angle?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complementary means add up to 90 degrees.
1.A%2BB=90
You also know that,
A%2FB=2%2F7
2.7A=2B
From 2,
B=%282%2F7%29A
Plug this into 1,
A%2BB=90
A%2B%282%2F7%29A=90
%287%2F7%29A%2B%282%2F7%29A=90
%28%287%2B2%29%2F7%29A=90
%289%2F7%29A=90
A=%287%2F9%2990
A=70
Then from 1,
A%2BB=90
70%2BB=90
B=20