Answer
m$\angle$1=78$^{\circ}$
Work Step by Step
Given
m$\angle$1=2m$\angle$2
Alternate interior angles
m$\angle$1=m$\angle$4
Transitive property
m$\angle$4=2m$\angle$2
Corresponding Angles
m$\angle$2=m$\angle$5
m$\angle$4+m$\angle$5=m$\angle$ACE
2m$\angle$2+m$\angle$2=117
3m$\angle$2=117
m$\angle$2=39
m$\angle$1=2m$\angle$2
m$\angle$1=2(39)
m$\angle$1=78^{\circ}$
