interior angles

[rachelmaddie]

Provide adequate geometric explanations and justification. Is this correct?

The sum of the measures of the interior angles of an n-gon is (n-2)*180. A dodecagon or 12-gon is a twelve sided polygon, with 12 interior angles.

n = numbered sides

(12-2)*180

(10)*180

Sum of interior angles = 1800 degrees

 

[pka]

Provide adequate geometric explanations and justification. Is this correct?

The sum of the measures of the interior angles of an n-gon is (n-2)*180. A dodecagon or 12-gon is a twelve sided polygon, with 12 interior angles.

n = numbered sides

(12-2)*180

(10)*180

Sum of interior angles = 1800 degrees
View attachment 14714

What is the point of your post? You answered the question so what is the point?
BTW: Is this a regular convex dodecagon?

 

[rachelmaddie]

What is the point of your post? You answered the question so what is the point?
BTW: Is this a regular convex dodecagon?

It does not specify so I would assume it’s a regular dodecagon. I want to make sure my work is correct.

 

[pka]

It does not specify so I would assume it’s a regular dodecagon. I want to make sure my work is correct.

Did you follow the link to the Wikpedia page: that will explain a lot.
Do you understand that that in a regular polygon all sides have the same length?

 

[rachelmaddie]

Did you follow the link to the Wikpedia page: that will explain a lot.
Do you understand that that in a regular polygon all sides have the same length?

Yes I did. Is the formula not correct?

 

[pka]

Yes I did. Is the formula not correct?

Why do you doubt whether it is correct or not?
Do you have any idea where the formula comes from? If not why not?
LOOK HERE

 

[rachelmaddie]

Why do you doubt whether it is correct or not?
Do you have any idea where the formula comes from? If not why not?
LOOK HERE

I’m just double-checking.

 

[Dr.Peterson]

Provide adequate geometric explanations and justification. Is this correct?

The sum of the measures of the interior angles of an n-gon is (n-2)*180. A dodecagon or 12-gon is a twelve sided polygon, with 12 interior angles.
n = number of sides
(12-2)*180
(10)*180
Sum of interior angles = 1800 degrees

To give a direct answer to your question, yes, what you wrote is correct.

The formula, in fact, applies to any dodecagon, not only to a regular one. I believe what you are saying is that you were given that formula, possibly with a proof, and hopefully with a complete statement of the conditions under which it is true. If so, then you have justified your answer.