Answer
m$\angle$6=68.3$^{\circ}$
Work Step by Step
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Since we are given that lines l and m are parallel, and $\angle$2 and $\angle$6 are corresponding angles, we know that $\angle$2 and $\angle$6 are congruent. Since $\angle$2=68.3$^{\circ}$, $\angle$6 must also be 68.3$^{\circ}$.