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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 Matt Tyers
by
8.2k points

1 Answer

5 votes
Sun of angles of a polygon is given by 90(2n - 4)
90(2n - 4) = 3060
2n - 4 = 3060/90 = 34
2n = 34 + 4 = 38
n = 38/2 = 19

Therefore, the polygon has 19 sides.
User Sergey Kopanev
by
7.5k points
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