SOLUTION: Hi, I was wondering if someone could help me with this: "Find the measures of two supplementary angles, angle N and angle M, if the measure of angle N is 5 less than 4 times the

Algebra ->  Angles -> SOLUTION: Hi, I was wondering if someone could help me with this: "Find the measures of two supplementary angles, angle N and angle M, if the measure of angle N is 5 less than 4 times the      Log On


   

Question 653925: Hi, I was wondering if someone could help me with this:
"Find the measures of two supplementary angles, angle N and angle M, if the measure of angle N is 5 less than 4 times the measure of angle M.
Thanks in advance, I appreciate it!
Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Hi, I was wondering if someone could help me with this:
"Find the measures of two supplementary angles, angle N and angle M, if the measure of angle N is 5 less than 4 times the measure of angle M.

N = 4M - 5 ----- eq (i)

N + M = 180 ------ eq (ii)

4M - 5 + M = 180 ----- Substituting 4M - 5 for N in eq (ii)

4M + M = 180 + 5

5M = 185

M, or angle M = 185%2F5, or highlight_green%2837%5Eo%29

N + 37 = 180 ----- Substituting 37 for M in eq (ii)

N, or angle N = 180 - 37, or highlight_green%28143%5Eo%29

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