Question

What is the measure of the unknown angle?

Image of a full circle divided into two angles. One angle is one hundred twenty degrees and the other is unknown

Group of answer choices

210°

220°

230°

240°

Answer 1

240°

Explanation:

Theorem: Angles around a point sum to 360°

One angle is 120° and the other is unknown.

Therefore, using the boave quoted theorem, the sum of these two angles is 360°

⇒ 120° + unknown angle = 360°

⇒ 120° + unknown angle - 120° = 360° - 120°

⇒ unknown angle = 240°