Answer:
71°
Step-by-step explanation
Given the angle m<8 = 109°
Since L || M, hence m<6 = m<8 = 109° (Corresponding angle)
Also the sum of m<5 and m<6 are supplementary, hence;
m<5 + m<6 = 180
Substitute m<6 = 109°
m<5 = 180 - m<6
m<5 =180 - 109
m<5 = 71°
Hence the measure of m<5 is 71°