### Instruction: Each interior angle of a polygon measures 170 degrees. How many sides does the polygon have?### Response: I know that the sum of the interior angles of a polygon with n sides is (n-2) times 180 degrees.
So if each angle measures 170 degrees, then the sum is n times 170 degrees.
I can set these two expressions equal to each other and solve for n.
(n-2) times 180 = n times 170.
I can simplify this by dividing both sides by 10.
(n-2) times 18 = n times 17.
I can expand the brackets and move everything to one side.
18n - 36 = 17n.
n = 36.
So the polygon has 36 sides.