Question

question 6 of 10 what is the sum of the measures of the interior angles of a regular polygon if each exterior angle measures 120°? a. 180° b. 900° c. 360° d. 720° e. 540° f. 1080°

Explanation:

Step1: Find number of sides

Sum of exterior angles = 360°, so \( n = \frac{360^\circ}{120^\circ} = 3 \)

Step2: Calculate interior angle sum

Sum formula: \( (n-2) \times 180^\circ \), so \( (3-2) \times 180^\circ = 180^\circ \)

Answer:

A. 180°