Answer:
2340 degrees.
Step-by-step explanation:
The sum of the interior angle measures of any polygon can be calculated using the following expression ([tex]n[/tex] is the number of sides the polygon has):
[tex]180(n-2)[/tex]
For a 15-sided polygon, plug in 15 for n and simplify:
[tex]180(15-2)=180(13)[/tex]
Multiply to solve:
[tex]180(13)=2340[/tex]
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).