Question

if m<10=77, m<7=47 and m<16=139, find the measure of the missing angle m<14=?

Answer 1

According to the diagram, angles 10 and 14 are supplementary, so they sum 180°.

$\begin{gathered} m\angle10+m\angle14=180 \\ 77+m\angle14=180 \\ m\angle14=180-77 \\ m\angle14=103 \end{gathered}$

Hence, angle 14 measures 103°.