Question

Hey I need help on my review study guide questions. Just question 11

Answer 1

Explanation

We are given the following:

We are required to determine the sum of the interior angle of the polygon above.

We know that the sum of the interior angles of a polygon is given as:

`\begin{gathered} (n-2)180 \\ where \\ n=number\text{ }of\text{ }sides \end{gathered}`

The polygon above has 12 sides (dodecagon), hence, we have:

`\begin{gathered} Sum\text{ }of\text{ }interior\text{ }angles=(n-2)180 \\ Sum\text{ }of\text{ }\imaginaryI nter\imaginaryI or\text{ }angles=(12-2)*180 \\ Sum\text{ }of\text{ }\imaginaryI nter\imaginaryI or\text{ }angles=10*180 \\ Sum\text{ }of\text{ }\imaginaryI nter\imaginaryI or\text{ }angles=1800 \end{gathered}`

Hence, the answer is :

`1800\degree`

Option C is correct.