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 polygon?

Options:

30 degrees
36 degrees
60 degrees
90 degrees

Correct Answer: 36 degrees

Solution:

The measure of each exterior angle of a regular polygon is calculated as 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

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

30 degrees
36 degrees
60 degrees
90 degrees

Questions & Step-by-Step Solutions

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

Step 1: Identify the number of sides in the polygon. In this case, the polygon has 12 sides.
Step 2: Use the formula for calculating the measure of each exterior angle of a regular polygon, which is 360 divided by the number of sides (n).
Step 3: Substitute the number of sides into the formula: 360 divided by 12.
Step 4: Perform the calculation: 360 / 12 = 30.
Step 5: Conclude that each exterior angle of a regular polygon with 12 sides 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.

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

What’s inside this PDF?

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

Practice Questions

Questions & Step-by-Step Solutions

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