I'm Lost and Need help!

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