# Sum Of The Angles Of Polygons

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| By Etjersland
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Etjersland
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Questions: 5 | Attempts: 376

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Use the following formula to solve the following problems. Sum of the angles = (n - 2)180, where n = number of sides

• 1.

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

• A.

720

• B.

900

• C.

1080

• D.

1260

A. 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.

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• 2.

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

• A.

900

• B.

1080

• C.

1260

• D.

1440

B. 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.

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• 3.

### What is the sum of the angles of an 11 sided polygon?

• A.

1980

• B.

1800

• C.

1620

• D.

1440

C. 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.

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• 4.

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

• A.

8

• B.

9

• C.

10

• D.

11

C. 10
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.

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• 5.

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

• A.

6

• B.

5

• C.

4

• D.

3

B. 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.

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• Current Version
• Jan 10, 2023
Quiz Edited by
ProProfs Editorial Team
• Mar 01, 2010
Quiz Created by
Etjersland

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