Question

The sum of the interior angles of a polygon is three times the sum of its exterior angles. Find the number of sides of the polygon.

• A. 5
• B. 6
• C. 7
• D. 8

Answer 1

The correct option is D 8

Sum of all exterior angles of a polygon $=$ $2\pi$

Sum of all interior angles of an $n$-sided polygon $=$ $(n-2)\pi$

Now, we need to solve for $n$ in the equation:

$\Rightarrow 3\times 2\pi =(n-2)\pi$

$\Rightarrow n=8$