Answer
m$\angle 1= 106^{\circ}$
m$\angle 4=51^{\circ}$
m$\angle 5= 51^{\circ}$
Work Step by Step
m$\angle 1= 180^{\circ}-m\angle 2$ because supplementary angles
m$\angle 1= 180^{\circ}-74^{\circ}=106^{\circ}$
m$\angle 1=m\angle 3+m\angle 4$
m$\angle 4 =m\angle 1-m\angle3$
m$\angle 4=106^{\circ}-55^{\circ}=51^{\circ}$
m$\angle 5=m\angle 4$ alternate interior angles
m$\angle 5= 51^{\circ}$
