Sum Of The Angles Of Polygons

1. What is the sum of the angles of a hexagon (6 sided polygon)?

720

900

1080

1260

A hexagon is a polygon with six sides. The sum of the interior angles of any polygon can be found using the formula (n-2) * 180, where n is the number of sides. In this case, the sum of the angles of a hexagon would be (6-2) * 180 = 4 * 180 = 720.

Explanation

A hexagon is a polygon with six sides. The sum of the interior angles of any polygon can be found using the formula (n-2) * 180, where n is the number of sides. In this case, the sum of the angles of a hexagon would be (6-2) * 180 = 4 * 180 = 720.

2. What is the sum of the angles of an octogon (8 sided polygon)?

900

1080

1260

1440

An octagon is a polygon with 8 sides. To find the sum of the angles of any polygon, we use the formula (n-2) * 180, where n is the number of sides. In this case, the sum of the angles of an octagon would be (8-2) * 180 = 6 * 180 = 1080.

Explanation

An octagon is a polygon with 8 sides. To find the sum of the angles of any polygon, we use the formula (n-2) * 180, where n is the number of sides. In this case, the sum of the angles of an octagon would be (8-2) * 180 = 6 * 180 = 1080.

3. What is the sum of the angles of an 11 sided polygon?

1980

1800

1620

1440

The sum of the angles in any polygon can be found using the formula (n-2) * 180, where n is the number of sides. In this case, the polygon has 11 sides, so the sum of the angles would be (11-2) * 180 = 9 * 180 = 1620.

Explanation

The sum of the angles in any polygon can be found using the formula (n-2) * 180, where n is the number of sides. In this case, the polygon has 11 sides, so the sum of the angles would be (11-2) * 180 = 9 * 180 = 1620.

4. How many sides does a polygon have if the sum of its angles is 1440?

8

9

10

11

A polygon with 10 sides is called a decagon. The sum of the interior angles of a decagon is given by the formula (n-2) * 180, where n is the number of sides. Plugging in n=10, we get (10-2) * 180 = 8 * 180 = 1440. Therefore, a polygon with 10 sides would have an angle sum of 1440 degrees.

Explanation

A polygon with 10 sides is called a decagon. The sum of the interior angles of a decagon is given by the formula (n-2) * 180, where n is the number of sides. Plugging in n=10, we get (10-2) * 180 = 8 * 180 = 1440. Therefore, a polygon with 10 sides would have an angle sum of 1440 degrees.

5. How many sides does a polygon have if the sum of its angles is 540?

6

5

4

3

A polygon with 5 sides is called a pentagon. The sum of the interior angles of a polygon can be found using the formula (n-2) * 180, where n represents the number of sides. In this case, we have (5-2) * 180 = 540, which means that the sum of the angles in a pentagon is indeed 540. Therefore, the correct answer is 5.

Explanation

A polygon with 5 sides is called a pentagon. The sum of the interior angles of a polygon can be found using the formula (n-2) * 180, where n represents the number of sides. In this case, we have (5-2) * 180 = 540, which means that the sum of the angles in a pentagon is indeed 540. Therefore, the correct answer is 5.