SOLUTION: two angles are supplementary. one angle is 5 degrees less than four times the other. find the measures of the angles.

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Question 414370: two angles are supplementary. one angle is 5 degrees less than four times the other. find the measures of the angles.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

supplementary angles add up to 180°
given:
one angle A is 5 degrees less than four times the other B,
A%2B5=4B..........1.....solve for A and plug in 2
A%2BB=180..........2
A=4B-5
4B-5%2BB=180..........2
5B=180%2B5
5B=185
B=185%2F5
B=37......now find A

A=4B-5
A=4%2A37-5
A=148-5
A=143

check:
A%2BB=180
37%2B143=180
180=180