SOLUTION: I appreciate your help! Two angles are complimentary. The sume of the measure of the first angle and half the second angle is 89 degrees. Find the measures of the angles. What

Algebra ->  Graphs -> SOLUTION: I appreciate your help! Two angles are complimentary. The sume of the measure of the first angle and half the second angle is 89 degrees. Find the measures of the angles. What       Log On


   

Question 383128: I appreciate your help!
Two angles are complimentary. The sume of the measure of the first angle and half the second angle is 89 degrees. Find the measures of the angles.
What is the measure of the smaller angle?
What is the measure of the other angle?
I wanted to try this one but not sure.
90 - 89 = 1 (half of the second angle)
1 x 2 = 2 degrees (the second angle)
90 - 2 = 88 degrees (first angle)
??
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First name your angles.
How about A and C.
You know
1.A%2BC=90
You also know that,
2.A%2B%281%2F2%29C=89
Subtract eq. 2 from eq. 1,
A%2BC-A-%281%2F2%29C=90-89
%281%2F2%29C=1
highlight%28C=2%29 degrees
Then from eq. 1,
A%2B2=90
highlight%28A=88%29 degrees