Answer :

Answer:

m∠a = 107°

Step-by-step explanation:

According to the Alternate Exterior Angles Theorem, when two parallel lines are intersected by a transversal, the angles that are exterior to the parallel lines and on the alternate sides of the transversal are congruent.

In this case, ∠a and the angle measuring 107° are exterior to the parallel lines and on alternate sides of the transversal, which means they are congruent, so:

[tex]\Large\text{$\sf m \angle a=\boxed{\sf 107}^{\circ}$}[/tex]