The sum of the angle measures of a polygon with n sides is 1440. Find n.
The formula for the sum of the angle measures of a polygon with n sides is given by:
\[\text{Sum} = (n - 2) \cdot 180^\circ.\]
Setting this equal to 1440 degrees and solving for n, we have:
\[(n - 2) \cdot 180^{\circ} = 1440^{\circ}.\]
Dividing both sides by 180 gives:
\[(n - 2) = 8.\]
Adding 2 to both sides gives:
\[n = \boxed{10}.\]