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If a polygon has 12 sides, what is the measure of each exterior angle in a regul

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Question: If a polygon has 12 sides, what is the measure of each exterior angle in a regular dodecagon?

Options:

  1. 30 degrees
  2. 36 degrees
  3. 15 degrees
  4. 45 degrees

Correct Answer: 36 degrees

Solution: 

The measure of each exterior angle of a regular polygon can be calculated using the formula 360/n, where n is the number of sides. For a dodecagon (12 sides), it is 360/12 = 30 degrees.

If a polygon has 12 sides, what is the measure of each exterior angle in a regul

Practice Questions

Q1
If a polygon has 12 sides, what is the measure of each exterior angle in a regular dodecagon?
  1. 30 degrees
  2. 36 degrees
  3. 15 degrees
  4. 45 degrees

Questions & Step-by-Step Solutions

If a polygon has 12 sides, what is the measure of each exterior angle in a regular dodecagon?
  • Step 1: Identify the number of sides in the polygon. A dodecagon has 12 sides.
  • Step 2: Use the formula for calculating the measure of each exterior angle, which is 360 divided by the number of sides (n).
  • Step 3: Substitute the number of sides into the formula: 360 / 12.
  • Step 4: Perform the division: 360 divided by 12 equals 30.
  • Step 5: Conclude that each exterior angle in a regular dodecagon measures 30 degrees.
  • Exterior Angles of Polygons – Understanding how to calculate the measure of each exterior angle in a regular polygon using the formula 360/n.
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