SOLUTION: Two angles are complementary. the sum of the measures of the first angle and half of the second angle is 89.5 degrees. Find the measures of each angle. Please walk me through this

Algebra ->  Equations -> SOLUTION: Two angles are complementary. the sum of the measures of the first angle and half of the second angle is 89.5 degrees. Find the measures of each angle. Please walk me through this      Log On


   

Question 185935: Two angles are complementary. the sum of the measures of the first angle and half of the second angle is 89.5 degrees. Find the measures of each angle. Please walk me through this
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If two angles are complementary, then their sum is 90 degrees. So,



But we are also told that:



Multiply the 2nd equation by -1 and then add the two equations term by term:





Multiply by 2:



You should be able to figure the measure of x for yourself.

John