Question

Find the sum of the interior angle measures of a convex 15-gon (a fifteen-sided polygon).

Answer 1

Answer:

2340 degrees.

Step-by-step explanation:

The sum of the interior angle measures of any polygon can be calculated using the following expression ($n$ is the number of sides the polygon has):

$180(n-2)$

For a 15-sided polygon, plug in 15 for n and simplify:

$180(15-2)=180(13)$

Multiply to solve:

$180(13)=2340$

For a 15-sided polygon, the sum of the interior angles must be 2340 degrees. You can go a step further and divide 2340 by 15 to figure out the individual measure of each interior angle (156 degrees).