Answer
m$\angle$C=64$^{\circ}$
Work Step by Step
m$\angle$2=m$\angle$4
3x+10=$\frac{5}{2}$x+18
$\frac{1}{2}$x=8
x=16
m$\angle$2+m$\angle$4+m$\angle$C=180
3x+10+$\frac{5}{2}$x+18+m$\angle$C=180
3(16)+10+$\frac{5}{2}$(16)+18+m$\angle$C=180
116+m$\angle$C=180
m$\angle$C=64
