Two angles are complimentary.The sum of the measure of the first angle and one fourth the second angle is 58.5 degrees. Find the measurements of the angles...the smaller one is ? and the larger one is?
Let a = first angle and b = second angle.
Since they are complementary, a + b = 90 (degrees). Then a = 90 - b
a +.25b = 58.5
Substitute (90-b) for a in the second equation and solve for a. Put the value for a in the first to solve for b. Put both values in the second equation as a check.