The angle 7 is given as, m<7 = 131°.
The sum of angle 7 and angle 8 is 180°.
[tex]m\angle7+m\angle8=180^{\circ}[/tex]
Substitute the m<7 = 131°.
[tex]171^{\circ}+m\angle8=180^{\circ}[/tex][tex]m\angle8=180^{\circ}-171^{\circ}[/tex][tex]m\angle8=49^{\circ}[/tex]
Thus the value of angle 8 is,
[tex]m\angle8=49^{\circ}[/tex]
