SOLUTION: The supplemet of an angle measures 10 times more than the measure of its complement. What is the measure of the angle?

Algebra ->  Angles -> SOLUTION: The supplemet of an angle measures 10 times more than the measure of its complement. What is the measure of the angle?      Log On


   

Question 131424This question is from textbook Beginnng and Intermediate Algebra
: The supplemet of an angle measures 10 times more than the measure of its complement. What is the measure of the angle? This question is from textbook Beginnng and Intermediate Algebra

Found 2 solutions by josmiceli, TakeATuition.com:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the angle a
10%2890+-+a%29+=+180+-+a
900+-+10a+=+180+-+a
9a+=+720
a+=+80degrees answer

Answer by TakeATuition.com(57) About Me  (Show Source):
You can put this solution on YOUR website!
SOLUTION -
Let the measure of an angle be x degree
now according to the condition we have "The supplemet of an angle measures 10 times more than the measure of its complement"
Therefore
supplement of angle x = 180 - x
complement of angle x = 90 - x

180 - x = 90 - x + 10(90 - x)
180 - x = 90 - x + 900 - 10x
180 - x - 180 = 90 - x + 900 - 10x - 180

-x + 10x = 810 - x - 10x + 10x

9x = 810 -x
9x + x = 810 - x + x
10x = 810

10x/10 = 810/10

x = 81
Therefore the measure of angle x = 81 degree
FOR MORE HELP VISIT : www.TakeATuition.com