Question

Solve for x going step by step .

Answer 1

Answer:

x=11

Step-by-step 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