Find x (image included)

Question

https://i.imgur.com/Kq6BvIy.png

(A) 42 6/7

(B) 43 1/3

(C) 36 2/3

(D) 46 2/3

(E) none of these

Answer 1

The inscribed angle of 40° subtends the arc of z°. An inscribed angle is equal to one-half of the degree measure of its subtended arc. Therefore, arc z equals 80°. Now we can solve for x:

2x + 20 + 4x + 40 + z = 360

2x + 20 + 4x + 40 + 80 = 360

Solve for x.