Angle M and Angle N are supplementary angles. If Angle M is nine more than one half angle N, what are the measures of the angles?

Solution:

   M + N = 180

   M = N/2  +  9

   N/2  + 9 + N = 180

   3N/2 = 180 - 9 = 171

     N = 171 * 2 /3 = 114

     M = 66