if m<10=77, m<7=47 and m<16=139, find the measure of the missing angle m<13=?

The angle 10 and angle 13 are pair of vertical angles. So measure of angle 10 and angle 13 are equal. So,
[tex]\begin{gathered} \angle13=\angle10 \\ \angle13=77 \end{gathered}[/tex]So measure of angle 13 is 77 degree.