Question

Angle measures and segment lengths. Algebra Find the value of each variable.

Answer 1

x = 60°

Explanation:

According to the Outside Angles Theorem, the angle formed by the two tangents in the diagram above is equal to half of the difference of the measures of two arcs that are intercepted.

Therefore:

`x = (1)/(2)(360 - 120) - 120)`

`x = (1)/(2)(240 - 120)`

`x = (1)/(2)(120)`

x = 60°