SOLUTION: One of two complementary angles is 18º less than the other. What is the measure of the smaller angle?

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Question 1165019: One of two complementary angles is 18º less than the other. What is the measure of the smaller angle?
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!


a+b = 90

a = b-18    ; a < b



re-writing 2nd eq:

b = a+18



now sub for 'b' in the 1st eq.:

a+(a+18) = 90



Solve for a:  a = 36 degrees