SOLUTION: Two angles are complementry. The sum of the measures of the first angle and half of the second angle is 89.5 degrees. Find the measurements of each angle. Please show me the soluti

Algebra ->  Equations -> SOLUTION: Two angles are complementry. The sum of the measures of the first angle and half of the second angle is 89.5 degrees. Find the measurements of each angle. Please show me the soluti      Log On


   

Question 185821: Two angles are complementry. The sum of the measures of the first angle and half of the second angle is 89.5 degrees. Find the measurements of each angle. Please show me the solution.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x+(90-x)/2=89.5
(2x+90-x)/2=89.5
x+90=2*89.5
x+90=179
x=179-90
x=89 degrees.
90-89=1 degree.
Proof:
89+(90-89)/2=89.5
89+1/2=89.5
89.5=89.5