SOLUTION: HW Question: Two angles are supplementary. If angle A is 5 times the sum of angle B plus 7.2, what is angle B? Teacher's answer key says: 5x + 7.2 + x = 180 x = 28.8 Sh

Algebra ->  Angles -> SOLUTION: HW Question: Two angles are supplementary. If angle A is 5 times the sum of angle B plus 7.2, what is angle B? Teacher's answer key says: 5x + 7.2 + x = 180 x = 28.8 Sh      Log On


   

Question 1116688: HW Question:
Two angles are supplementary. If angle A is 5 times the sum of angle B plus 7.2, what is angle B?
Teacher's answer key says: 5x + 7.2 + x = 180 x = 28.8
Shouldn't it be solved like this: 5(x + 7.2) +x = 180 ? x = 24


Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
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Two angles are supplementary. If angle A is 5 times the sum of angle B plus 7.2, what is angle B?
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A=5%28B%2B7.2%29
-

5%28B%2B7.2%29%2BB=180
5B%2B36%2BB=180
6B=180-36
B=30-6
highlight%28B=24%29

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!
HW Question:
Two angles are supplementary. If angle A is 5 times the sum of angle B plus 7.2, what is angle B?
Teacher's answer key says: 5x + 7.2 + x = 180 x = 28.8
Shouldn't it be solved like this: 5(x + 7.2) +x = 180 ? x = 24
IGNORE the NONSENSE by the other person!

Let angle B be B

Then angle A = 180 - B, since the angles are SUPPLEMENTARY

We then get: 180 - B = 5B + 7.2

- B - 5B = 7.2 - 180

- 6B = - 172.8

B, or measure of angle B = highlight_green%28matrix%281%2C3%2C+%28-+172.8%29%2F%28-+6%29%2C+%22=%22%2C+28.8%5Eo%29%29

AGAIN, any other answer is NONSENSE, especially the one from that person who you can be CERTAIN will ALWAYS be about 95% INCORRECT!!