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If a polygon has 8 sides, what is the sum of its interior angles?

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Question: If a polygon has 8 sides, what is the sum of its interior angles?

Options:

  1. 720 degrees
  2. 1080 degrees
  3. 900 degrees
  4. 1440 degrees

Correct Answer: 1080 degrees

Solution: 

The sum of the interior angles of an octagon (8-sided polygon) is calculated using the formula (n-2) * 180, which gives (8-2) * 180 = 1080 degrees.

If a polygon has 8 sides, what is the sum of its interior angles?

Practice Questions

Q1
If a polygon has 8 sides, what is the sum of its interior angles?
  1. 720 degrees
  2. 1080 degrees
  3. 900 degrees
  4. 1440 degrees

Questions & Step-by-Step Solutions

If a polygon has 8 sides, what is the sum of its interior angles?
  • Step 1: Identify the number of sides in the polygon. In this case, the polygon has 8 sides.
  • Step 2: Use the formula to find the sum of the interior angles, which is (n - 2) * 180, where n is the number of sides.
  • Step 3: Substitute the number of sides (n = 8) into the formula: (8 - 2) * 180.
  • Step 4: Calculate (8 - 2) which equals 6.
  • Step 5: Multiply 6 by 180 to find the sum of the interior angles: 6 * 180 = 1080 degrees.
  • Polygon Interior Angles – Understanding how to calculate the sum of interior angles of polygons using the formula (n-2) * 180, where n is the number of sides.
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