SOLUTION: Solve the problem. Two angles are supplementary, and one is 5 degrees more than six times the other. Find the larger angle.

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Question 170341This question is from textbook Introductory Algebra
: Solve the problem. Two angles are supplementary, and one is 5 degrees more than six times the other. Find the larger angle. This question is from textbook Introductory Algebra

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
supplementary angles mean the angles add up to 180..lets call the angles a and b
:
a+b=180...eq 1
a=6b+5....eq 2
:
plug in a's value from eq 1 into eq 2.
:
(6b+5)+b=180------->add b terms and subtract 5 from each side.
:
7b=175
:
highlight%28b=25%29 small angle
highlight%28a=6%2825%29%2B5=155%29 large angle