Answer
m$\angle$M=75$^{\circ}$
m$\angle$N=75$^{\circ}$
Work Step by Step
m$\angle$M=m$\angle$N
m$\angle$M+m$\angle$N+m$\angle$P=180$^{\circ}$
2m$\angle$M+m$\angle$P=180$^{\circ}$
2m$\angle$M+30$^{\circ}$=180$^{\circ}$
2m$\angle$M=150$^{\circ}$
m$\angle$M=75$^{\circ}$
m$\angle$N=75$^{\circ}$