Answer:
<u>The regular polygon has 13 sides</u>
Correct statement and question:
If the sum of the measures of the interior angles of a polygon is 1980°, how many sides does it have?
Source:
1,920° is not a valid value for a regular polygon. It should be either 1,980° or 1,800° (it has to be a multiple of 180). We pick 1,980° to answer the question.
Step-by-step explanation:
Let's recall that the formula of the sum of the interior angles of any polygon is:
Sum of Interior Angles = (n-2) * 180°, where n is the number of sides of the polygon.
Therefore, replacing with the value we know:
1,980 = (n-2) * 180
n - 2 = 1,980/180
n - 2 = 11
<u>n = 13</u>
