Sum Of The Angles Of Polygons

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| By Etjersland
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Etjersland
Community Contributor
Quizzes Created: 3 | Total Attempts: 6,378
Questions: 5 | Attempts: 376

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Sum Quizzes & Trivia

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
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