Question

If m<10=77, m<7=47 and m<16=139, find the measure of the missing angle m<3=?

Answer 1

Given data:

The given figure is shown.

The expression for the angle 5 is,

`\begin{gathered} \angle15+\angle16=180^(\circ) \\ \angle15+139^(\circ)=180^(\circ) \\ \angle15=41^(\circ) \\ \angle5=\angle15 \\ \angle5=41^(\circ) \end{gathered}`

The measurement of the angle 3 is,

`\begin{gathered} \angle3=\angle5 \\ \angle3=41^(\circ) \end{gathered}`

Thus, the value of the angle 3 is 41 degrees.