The sum of the measures of the interior angles of a polygon with n sides can be found using the formula (n-2) * 180 degrees.
For a 10-sided figure, we have (10-2) * 180 = 8 * 180 = 1,440 degrees.
Therefore, the sum of the measures of the interior angles of a 10-sided figure is 1,440°.
The answer is A.