Question

Хоо
о 100
120
140
What would the answer for X be ??

Answer 1

140°

Explanation:

The external angle is half the difference between the intercepted arcs. One arc is shown as 30°. The other will be the difference between 180° and (30°+x). Then we have ...

(30 -(180 -(30+x)))/2 = 10

x -120 = 20 . . . . . . . multiply by 2 and simplify

x = 140 . . . . . . . . . . . add 120

The measure of arc X is 140°.