Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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°

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.