SOLUTION: The supplemet of an angle measures 10 times more than the measure of its complement. What is the measure of the angle?
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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) (Show Source): You can put this solution on YOUR website!
Call the angle
degrees answer
Answer by TakeATuition.com(57) (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
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