Answer:
x=11
Explanation:
We know that the angle is equal to 1/2 the difference of the long arc length between where the line segments touch the circle and the small arc length where the line segments touch the circle
They long distance is 360 - (86+74) = 200
The small distance is 86
4x+13 = 1/2 ( 200 - 86)
4x+13 = 1/2 (114)
4x+13 = 57
Subtract 13 from each side
4x+13-13 = 57-13
4x= 44
Divide by 4
4x/4 = 44/4
x=11