Simple....
so if these lines are parallel....then the angles are easy to find...
They said that m<7=135 they want you to find m<4....
<5 and <7 are vertical angles so the m<5=135
Now...remember your relationships with your angles...
m<5+m<6=180
m<8+m<7=180
m<135+m<6=180
m<135+m<45=180
and
m<8+m<135=180
m<45+m<135=180
Now we know <5,6,7,8
Now use those angles to find the rest...
m<4+m<5=180
and
m<6+m<3=180
-->>
m<4+m<45=180
m<45+m<135=180
and
m<6 and m<3=180
m<45+m<3=180
m<45+m<135=180
So, the angle measure of m<4=45
Thus, your answer.
