SOLUTION: Angle M and Angle N are Supplimentary Angles. If Angle M is 9 more than 1/2, Angle N what are the measures of the Angles? Show the work...

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Angle M and Angle N are Supplimentary Angles. If Angle M is 9 more than 1/2, Angle N what are the measures of the Angles? Show the work...      Log On


   



Question 363729: Angle M and Angle N are Supplimentary Angles. If Angle M is 9 more than 1/2, Angle N what are the measures of the Angles? Show the work...
Answer by amoresroy(361) About Me  (Show Source):
You can put this solution on YOUR website!
First Equation:
M + N = 180
2nd Equation
M = N/2 + 9
Substitute the value of M in Equation 2 to Equation 1
(N/2 + 9) + N = 180
N (1/2 + 1) = 180 - 9
3N/2 = 171

Multiply equation by 2/3
N = 2/3 (171)
N = 114
Since M + N = 180
M = 180 - N
M = 180 - 114
M = 66
The angles are 66 & 114