Question

If m<10=77, m<7=47 and m<16=139, find the measure of the missing angle m<17

Answer 1

Since angle 16 measures 139 degrees and is a supplementary angle with angle 17, we have the following equation:

`139+\measuredangle17=180`

solving for angle 17, we get:

`\begin{gathered} 139+\measuredangle17=180 \\ \Rightarrow\measuredangle17=180-139=41 \\ \measuredangle17=41\degree \end{gathered}`

therefore, the measure of angle 17 is 41 degrees