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In a regular dodecagon, what is the measure of each exterior angle?
In a regular dodecagon, what is the measure of each exterior angle?
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Practice Questions
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Q1
In a regular dodecagon, what is the measure of each exterior angle?
30 degrees
36 degrees
24 degrees
18 degrees
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The measure of each exterior angle of a regular polygon is 360/n. For a dodecagon (n=12), it is 360/12 = 30 degrees.
Questions & Step-by-step Solutions
1 item
Q
Q: In a regular dodecagon, what is the measure of each exterior angle?
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.
Steps: 6
Show Steps
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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