Asked by Anonymous

Find the measure of two complementary angles if the measure of one angle is 5/8 the measure of the other. What is the measure of the larger angle?

Answered by Ms. Sue
90 / 8 = 11.25

11.25 * 5 = ?

Answered by Reiny
large angle --- x
smaller angle = 5x/8

x + 5x/8 = 90
8x + 5x = 720
13x = 720
x = 720/13 = appr 55.38°<----- the larger
the smaller is 34.62°

check: 34.62 + 55.38 = 90
(5/8)(55.38) = appr 34.61 , off because of rounding error
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