Angles 2 and 6 are corresponding angles.
When parallel lines are cut by a transversal, corresponding angles are congruent, so angles 2 and 6 are congruent.
m<2 = m<6 = 64 deg.
Angles 5 and 6 are a linear pair, so they are supplementary, and their measures add to 180 deg.
m<5 + m<6 = 180
m<5 + 64 = 180
m<5 = 180 - 64
m<5 = 116
Answer: m<5 = 116 deg.
