SOLUTION: The difference in two complementary angles is 21°. What is the measure of the larger angle?

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Question 702428: The difference in two complementary angles is 21°. What is the measure of the larger angle?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
(90-x) - x = 21

90 - 2x = 21

-2x = 21 - 90

-2x = -69

x = -69/(-2)

x = 34.5

90 - x = 90 - 34.5 = 55.5


So the larger angle is 55.5 degrees