SOLUTION: If the ratio of the measures of the complementary angle to that of the supplementary angle of the given angle is 1:10. Find the ratio of the given angle with its complementary angl

Algebra ->  Angles -> SOLUTION: If the ratio of the measures of the complementary angle to that of the supplementary angle of the given angle is 1:10. Find the ratio of the given angle with its complementary angl      Log On


   

Question 824873: If the ratio of the measures of the complementary angle to that of the supplementary angle of the given angle is 1:10. Find the ratio of the given angle with its complementary angle.
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
x = angle
(90 - x) = complement
(180 - x) = supplement
%281%2F10%29=%28+%2890+-+x%29%2F%28180+-+x%29+%29
do cross products
10%2890-x%29+=+1%28180-x%29
900-10x+=+180-x
add x to each side
900-9x+=+180
subtract 900 from each side
-9x+=+-720
divide each side by -9
x+=+80