Question

If m<10=77, m<7=47 and m<16=139, find the measure of the missing angle m<5=?

Answer 1

Given,

The measure of angle 7 is 47 degree.

The measure of angle 10 is 77 degree.

The measure of angle 16 is 139 degree.

Here,

The given line a and b are parallel lines.

By using the property of alternate interior angle,

`\angle7=\angle12=47^(\circ)`

By using the property of alternate interior angle,

`\begin{gathered} \angle16=\angle7+\angle6 \\ 139^(\circ)=47^(\circ)+\angle6 \\ \angle6=92^(\circ) \end{gathered}`

On line a ,

The sum of pair of linear angle is 180 degree.