SOLUTION: "A certain angle is 30 degrees less than 4 times it's compliment. Find the angle's supplement." I need a step by step answer to the above word problem. Thank you in advance.

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Question 176480: "A certain angle is 30 degrees less than 4 times it's compliment. Find the angle's supplement."
I need a step by step answer to the above word problem. Thank you in advance.

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let a and b be our supplementary angles
:
b=4a-30..........eq 1
a+b=180..........eq 2
:
rewrite eq 2 to b=180-a and plug it into eq 1
:
180-a=4a-30
:
5a=210
:
highlight%28a=42%29degrees
:
highlight%28b=4%2842%29-30=138%29degrees