Question

Find x. Assume that any segment that appears to be tangent is tangent.

Answer 1

The value of x is 21.

To find this one, we need to know the formula with intersecting lines outside of the circle.

It is that if you subtract the smaller arc from the larger arc and divide by 2, you will have the exterior angle.

Therefore, we can write and solve the following equation:

(5x - 63) / 2 =x
5x - 63 = 2x
3x = 63
x = 21