Answer to Question #5604 in Analytic Geometry for massi

Question

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

Answer 1

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