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,
[tex]\angle7=\angle12=47^{\circ}[/tex]
By using the property of alternate interior angle,
[tex]\begin{gathered} \angle16=\angle7+\angle6 \\ 139^{\circ}=47^{\circ}+\angle6 \\ \angle6=92^{\circ} \end{gathered}[/tex]
On line a ,
The sum of pair of linear angle is 180 degree.
