To find the number of sides in a regular polygon based on the sum of its interior angles, you can use the formula for the sum of the interior angles of a polygon:
\[ S = (n - 2) \times 180 \]
where \( S \) is the sum of the interior angles and \( n \) is the number of sides.
Given that the sum of the interior angles is \( S = 2340 \) degrees, we can set up the equation:
\[ 2340 = (n - 2) \times 180 \]
Now, we can solve for \( n \):
- Divide both sides by 180:
\[ \frac{2340}{180} = n - 2 \]
- Calculate \( \frac{2340}{180} \):
\[ \frac{2340}{180} = 13 \]
So we have:
\[ 13 = n - 2 \]
- Add 2 to both sides to find \( n \):
\[ n = 13 + 2 = 15 \]
Thus, the polygon has \( \boxed{15} \) sides.