Question

If m<10=77, m<7=47 and m<16=139, find the measure of the missing angle m<15=?

Answer 1

Step 1: Quoting the theorem of a straight line

The theorem of a straight line says Total angles on a straight line is equal to 180°.

Step 2:

m<16 and m<15 are angles on a straight line from the diagram given,

`\begin{gathered} \text{where} \\ m<16=139^0 \\ m<15=\text{?} \\ \text{therefore,} \\ m<16+m<15=180^0 \\ 139^0+m<15=180^0 \\ \text{Collecting like terms} \\ m<15=180^0-139^0 \\ m<15=41^0 \end{gathered}`

Hence the value of m<15= 41°.