Geometry

Step 1: Use the formula for the sum of interior angles of a polygon.
The sum of the interior angles of an -sided polygon is given by: Step 2: Plug in the given sum.
We are given that the sum is . So, we set up the equation: Step 3: Solve for . Hence, the polygon has sides.

Sum of interior angles = (n - 2) × 180° = (10 - 2) × 180° = 1440°. Thus, the correct answer is: