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In a regular dodecagon, what is the measure of each exterior angle?

Practice Questions

Q1
In a regular dodecagon, what is the measure of each exterior angle?
  1. 30 degrees
  2. 36 degrees
  3. 24 degrees
  4. 18 degrees

Questions & Step-by-Step Solutions

In a regular dodecagon, what is the measure of each exterior angle?
  • Step 1: Understand what a dodecagon is. A dodecagon is a polygon with 12 sides.
  • Step 2: Know the formula for finding the measure of each exterior angle of a regular polygon. The formula is 360 divided by the number of sides (n).
  • Step 3: Identify the number of sides in a dodecagon. Since it has 12 sides, n = 12.
  • Step 4: Plug the number of sides into the formula. So, you calculate 360 divided by 12.
  • Step 5: Perform the division. 360 divided by 12 equals 30.
  • Step 6: Conclude that the measure of each exterior angle in a regular dodecagon is 30 degrees.
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