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The sum of the measures of the interior angles of a convex polygon is 3060º. How many sides does the polygon have? A. 17 B. 15 C. 19 D. 18

The sum of the measures of the interior angles of a convex polygon is 3060º. How many sides does the polygon have? A. 17 B. 15 C. 19 D. 18
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The sum of the measures of the interior angles of a convex polygon is 3060º. How many sides does the polygon have?

A. 17
B. 15
C. 19
D. 18

User Epicurist
by
7.8k points

2 Answers

4 votes
Use the formula:

(sum of interior angles / 180) - 2 = # of sides

(3060 / 180) + 2 = 19
User Huu Bao Nguyen
by
8.1k points
4 votes
The formula for the sum of the measures of a polygon's interior angles is 180(n-2), where n is the number of sides.
3060 = 180(n-2)
17=n-2
19=n
Therefore, the polygon has C. 19 sides.
User Plimbs
by
7.8k points
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