SOLUTION: Please help me solve the following problem: The measure of the supplement of an angle exceeds 3 times the measure of the complement of the angle by 10. Find the measure of the

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Question 51691This question is from textbook geometry for enjoyment and challenge
: Please help me solve the following problem:
The measure of the supplement of an angle exceeds 3 times the measure of the complement of the angle by 10. Find the measure of the complment angle.
This question is from textbook geometry for enjoyment and challenge

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve the following problem:
The measure of the supplement of an angle exceeds 3 times the measure of the complement of the angle by 10. Find the measure of the complment angle.
let the angle = x
its supplement = 180-x
complement of the angle =90-x
3 times complement = 3(90-x)=270-3x
10 more =270-3x+10=280-3x..this is equal to supplement = 180-x
3x-x=280-180=100
x=100/2 = 50