Sum Of The Angles Of Polygons

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| By Etjersland

Etjersland

Community Contributor

Quizzes Created: 3 | Total Attempts: 6,354

Questions: 5 | Attempts: 374 | Updated: Jan 10, 2023

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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

Questions and Answers

1.

What is the sum of the angles of a hexagon (6 sided polygon)?
- A.
  
  720
- B.
  
  900
- C.
  
  1080
- D.
  
  1260
Correct Answer
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
Correct Answer
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
Correct Answer
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
Correct Answer
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
Correct Answer
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

Sum Of The Angles Of Polygons

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

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

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

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

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