SOLUTION: Two angles are complimentary if the sum of their measures is 90. The measure of the first angle is 18 more than four times the second angle. Find the measure of the first angle.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Two angles are complimentary if the sum of their measures is 90. The measure of the first angle is 18 more than four times the second angle. Find the measure of the first angle.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 562254: Two angles are complimentary if the sum of their measures is 90. The measure of the first angle is 18 more than four times the second angle. Find the measure of the first angle.
Answer by issacodegard(60) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, let x and y be the measures of the first and second angles respectively.
Then we have,
x=18+4y
x+y=90 (complimentary angles)
So, solving the system gives the unique solution pair (x,y):
Sub the first eqn into the second to get
18+4y+y=90
5y=72
y=14.4
So, x=18+4(14.4)=75.6