# Answer to Question #5604 in Analytic Geometry for massi

Question #5604

two complementary angles are in the ratio 1:8 find the measures of both angles

Expert's answer

complementary angles sum to 90 degrees. So let's denote angle measure of smaller one by x. Then the second angle is 8x. So we have

x+8x=90

9x=90

x=10 the smaller angle

Another is x*8=80

Answer : 10, 80

x+8x=90

9x=90

x=10 the smaller angle

Another is x*8=80

Answer : 10, 80

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