#### Answer

m$\angle$5=110.8$^{\circ}$

#### Work Step by Step

If two parallel lines are cut by a transversal, then the pairs of alternate angles are congruent. Since we are given that lines l and m are parallel, and $\angle$4 and $\angle$5 are alternate angles, we know that $\angle$4 and $\angle$5 are congruent. Since $\angle$4=110.8$^{\circ}$, $\angle$5 must also be 110.8$^{\circ}$.