Asked by TracyAnn
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?
Answers
Answered by
PsyDAG
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.
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.
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