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Hi I’m really confused and it’s a new topic

Hi Im Really Confused And Its A New Topic class=

Sagot :

Given:

  • Dodecagon

To find:

  • The size of one interior angle
  • The size of one exterior angle

Solution:

[tex]\large\boxed{Formula:\frac{sum \: of \: interior \: angles}{n}}[/tex]

n means the number of sides.

Sum of interior angles of a dodecagon is 1800°

Let's substitute the values according to the formula.

[tex]\frac{1800}{12}[/tex]

[tex]\large\boxed{ = 150°}[/tex]

Now, we can find the size of one exterior angle.

[tex]\large\boxed{Formula:\frac{360}{n}}[/tex]

n means the number of sides.

A dodecagon has 12 sides.

Let's substitute the values according to the formula.

[tex]\frac{360}{12}[/tex]

[tex]\large\boxed{ = 30°}[/tex]

Hence, the size of 1 interior angle of a dodecagon is 150° and 1 exterior angle is 30°

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