👤

if each interior angle of a regular polygon measure 120, what is the total number of sides in the polygon?​

Sagot :

Answer:

6 sides

Step-by-step explanation:

Given that, one interior angle is 120 degrees.

Sum of interior angles of a regular polygon = (n − 2) × 180°

Interior angle of a regular polygon = [(n − 2) × 180°] / n

120° = [(n − 2) × 180°]/n

120n = 180n - 360

60n = 360

n = 6