SOLUTION: Hi, here is the problem I am having trouble with. I keep getting stuck and can't really remember what to do. Thank you for your help. Find an angle such that 5 times the angle

Algebra ->  Angles -> SOLUTION: Hi, here is the problem I am having trouble with. I keep getting stuck and can't really remember what to do. Thank you for your help. Find an angle such that 5 times the angle       Log On


   

Question 794687: Hi, here is the problem I am having trouble with. I keep getting stuck and can't really remember what to do. Thank you for your help.
Find an angle such that 5 times the angle is equal to 4 less than the sum of its supplement and complement.
Ashley
Answer by KMST(5347) About Me  (Show Source):
You can put this solution on YOUR website!
x= the measure of the angle, in degrees (you did not specify your angle measure units)
5x= 5 times the angle, in degrees
90%5Eo-x= the measure of the complement, in degrees
(complement means what you need to add to get to 90%5Eo)
180%5Eo-x= the measure of the supplement, in degrees
(supplement means what you need to add to get to 180%5Eo)
5x=90%5Eo-x%2B%28180%5E0-x%29-4%5Eo --> 5x=90%5Eo%2B180%5E0-4%5Eo-x-x --> 5x=266%5Eo-2x --> 7x=266%5Eo --> x=266%5Eo%2F7 --> highlight%28x=38%5Eo%29