To find the length of the arc AB, we can use the following equation:
[tex]a= \frac{1}{2} (y-x)[/tex]
where a is the exterior angle, y is the arc furthest from the angle, and x is the arc nearest to the angle.
We know the value of a, but now x or y. However, we do know that x = 360 - y. We can use this information to find x (arc AB):
[tex]50 = \frac{1}{2} (y - (360 - y))[/tex]
[tex]50 = \frac{1}{2} (2y - 360)[/tex]
[tex]50 = y - 180[/tex]
y = 230
If y = 230, then AB = 360 - 230:
360 - 230 = 130
The correct answer is 130.
