Question

A monster cuts $\frac{120}{360}$ parts of a circular plate. What is the measure of the angle?

• A. ${230}^o$
• B. ${120}^o$
• C. ${160}^o$
• D. ${130}^o$

Answer 1

The correct option is B ${120}^o$

$\frac{120}{360}$ parts of a circular plate were cut by the monster.
● $1$ degree is the measure of the angle that occupies $\frac{1}{360}$ of a circular plate.


● As one part of the circular plate measures $1$ degree of an angle, $120$ parts of the circular plate measure $120$ degrees of an angle. So, the measure of the angle is $120$ degrees.
Hence, $D$ is the correct option.