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:
[tex]\begin{gathered} (n-2)180 \\ where \\ n=number\text{ }of\text{ }sides \end{gathered}[/tex]
The polygon above has 12 sides (dodecagon), hence, we have:
[tex]\begin{gathered} Sum\text{ }of\text{ }interior\text{ }angles=(n-2)180 \\ Sum\text{ }of\text{ }\imaginaryI nter\imaginaryI or\text{ }angles=(12-2)\times180 \\ Sum\text{ }of\text{ }\imaginaryI nter\imaginaryI or\text{ }angles=10\times180 \\ Sum\text{ }of\text{ }\imaginaryI nter\imaginaryI or\text{ }angles=1800 \end{gathered}[/tex]
Hence, the answer is :
[tex]1800\degree[/tex]
Option C is correct.
