Question

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

Answer 1

Given:

• Dodecagon

To find:

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

Solution:

`\large\boxed{Formula:(sum \: of \: interior \: angles)/(n)}`

n means the number of sides.

Sum of interior angles of a dodecagon is 1800°

Let's substitute the values according to the formula.

`(1800)/(12)`

`\large\boxed{ = 150°}`

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

`\large\boxed{Formula:(360)/(n)}`

n means the number of sides.

A dodecagon has 12 sides.

Let's substitute the values according to the formula.

`(360)/(12)`

`\large\boxed{ = 30°}`

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