Respuesta :

MikeMart77

Answer:

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:

[tex]180 (n - 2)[/tex]

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

[tex]180((24) - 2) \\ 180(22) \\ 3960[/tex]

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

[tex]3960 \div 24 = 165[/tex]

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.

[tex]360 - 165 = 195[/tex]

bhuvna789456

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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