### Instruction: The degree measure of the sum of the interior angles of a convex polygon with $n$ sides is 1800. What is the degree measure of the sum of the interior angles of a convex polygon with $n + 2$ sides?### Response: I know that the sum of the interior angles of any convex polygon with $n$ sides is $(n - 2) \times 180$ degrees.
So if the sum of the interior angles of a convex polygon with $n$ sides is 1800, I can divide both sides by 180 to get $n - 2 = 10$, which implies $n = 12$.
To find the sum of the interior angles of a convex polygon with $n + 2 = 14$ sides, I can plug in 14 into the formula: $(14 - 2) \times 180 = 12 \times 180 = 2160$ degrees.