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 825029: 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 ankor@dixie-net.com(22740) About Me  (Show Source):
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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?
:
Let a = the angle
then
%2890-a%29%2F%28180-a%29 = 1%2F10
Cross multiply
180- a = 10(90-a)
180 - a = 900 - 10a
-a + 10a = 900 - 180
9a = 720
a = 720/9
a = 80 degrees is the angle
:
" find the ratio of the given angle with its complementary angle?"
80%2F%2890-80%29 = 80%2F10 = 8:1