Polygon Angles

The sum of the interior angle measures of a polygon is 3,420°. How many sides does the polygon have?

• 17

• 18

• 19

• 21

If the sum of the interior angle measures of a convex polygon is 2,160°, how many sides does the polygon have?

• 12 sides

• 13 sides

• 14 sides

• 15 sides

In the drawing, a regular polygon is partially covered by the rectangle. How many sides does the covered polygon have?

• 8

• 6

• 5

• 4

A portion of a regular polygon is shown. How many sides would the polygon have when completed?

• 15

• 20

• 24

• 26

Given the following is a representation of two polygons attached at one edge, find the number of sides the polygon on the left has.

• 5

• 6

• 7

• 8

Three regular polygons meet a point A. How many sides does the largest polygon have?

• 3

• 9

• 12

• 18

Archeologists unearthed parts of two adjacent walls of an ancient castle. Before it was unearthed, they knew from ancient texts that the castle was shaped like a regular polygon, but nobody knew how many sides it had. Some said 6, others 8, and some even said 100. From the information in the figure, how many sides did the castle really have?

• 8

• 15

• 156

• 180

In a regular polygon, the measure of an interior angle is 156°. How many sides does the polygon have?

• 13

• 15

• 17

• 18

If the exterior angle of a regular polygon is 22.5, how many sides does it have?

• 3

• 7

• 11

• 16

The sum of the measures of the interior angles of a polygon is between 2100 and 2400. How many sides does the polygon have? Choose all correct answers.

• 13

• 14

• 15

• 16