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PLEASE HELP MEEEE WITH THIS !!!!!

PLEASE HELP MEEEE WITH THIS !!!!!-example-1

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To find the length of the arc AB, we can use the following equation:


a= (1)/(2) (y-x)

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):


50 = (1)/(2) (y - (360 - y))


50 = (1)/(2) (2y - 360)


50 = y - 180

y = 230

If y = 230, then AB = 360 - 230:

360 - 230 = 130

The correct answer is 130.
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