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

₹0.0

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

Options:

Correct Answer: 36 degrees

Solution:

The measure of each exterior angle of a regular polygon is 360/n. For a dodecagon (n=12), it is 360/12 = 30 degrees.

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

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.

Exterior Angles of Polygons – 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.