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In a certain polygon, if each exterior angle measures 30 degrees, how many sides

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Question: In a certain polygon, if each exterior angle measures 30 degrees, how many sides does the polygon have? (2023)

Options:

  1. 6
  2. 8
  3. 10
  4. 12

Correct Answer: 6

Exam Year: 2023

Solution: 

The sum of the exterior angles of any polygon is 360 degrees. If each exterior angle is 30 degrees, then the number of sides is 360 / 30 = 12.

In a certain polygon, if each exterior angle measures 30 degrees, how many sides

Practice Questions

Q1
In a certain polygon, if each exterior angle measures 30 degrees, how many sides does the polygon have? (2023)
  1. 6
  2. 8
  3. 10
  4. 12

Questions & Step-by-Step Solutions

In a certain polygon, if each exterior angle measures 30 degrees, how many sides does the polygon have? (2023)
  • Step 1: Understand that the sum of all exterior angles of any polygon is always 360 degrees.
  • Step 2: Know that if each exterior angle of the polygon measures 30 degrees, you can find the number of sides by dividing the total sum of exterior angles (360 degrees) by the measure of each exterior angle (30 degrees).
  • Step 3: Perform the calculation: 360 degrees divided by 30 degrees equals 12.
  • Step 4: Conclude that the polygon has 12 sides.
  • Exterior Angles of a Polygon – The sum of the exterior angles of any polygon is always 360 degrees, and each exterior angle can be used to determine the number of sides.
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