I'm Lost and Need help!

The <<<< on liness a & b\bf a~\&~b is standard notation to indicate parallel lines.
Thus using vertical angles, corresponding angles and alternant interior angles we get:
m(1)=m(4)=m(5)=m(8)m(\angle1)=m(\angle 4)=m(\angle5)=m(\angle8)
and m(2)=m(3)=m(6)=m(7)m(\angle 2)=m(\angle 3)=m(\angle 6)=m(\angle 7)
Proceed with the given.
 
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