SOLUTION: What are the measures of two suplimentary angles ,<N and <M, if the measure of angle N is 5 less than 4 times the measure of angle M.

Algebra ->  Points-lines-and-rays -> SOLUTION: What are the measures of two suplimentary angles ,<N and <M, if the measure of angle N is 5 less than 4 times the measure of angle M.      Log On


   

Question 50064This question is from textbook glencoe Geometry integration applications, connections
: What are the measures of two suplimentary angles , This question is from textbook glencoe Geometry integration applications, connections

Answer by tutorcecilia(2152) About Me  (Show Source):
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Angle N + Angle M=180 [Definition of a supplemental angle]
(4M-5)+M =180 [Plug-in the values]
4M-5+M=180+5 [solve for M]
4M+M=185
5M=185
5M/5=185/5
M=37
.
N=180-37=143
.
Check by plugging the values back into the original equation:
(4M-5)+M=180
(4)(37)-5+37=180
180=180 [Checks out]