What is the exterior angle of a regular 24 gon

The exterior, or external angle of a regular 24-gon is 195°.

Step-by-step explanation:

There is a formula for the sum of the interior angles of a polygon, given the number of sides (n), which is:

Now, let's find the interior angles of the 24-gon.

Then, we divide it by 24, to get an individual internal angle.

So, because we know the sum of one internal angle and its corresponding external angle is a full revolution, or 360°, a simple subtraction gives you the answer.

15°

Step-by-step explanation:

Step 1:

We know that the exterior angle formula is ( 360°) / ( Number of sides)

Step 2:

Here the number of sides is equal to 24.

∴ Exterior angle = 360° / 24

                           = 15°

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