Question

8. The sum of the interior angles of a triangle is 180 degrees. For a quadrilateral the sum is 360 degrees. For a pentagon the sum is 540 degrees. What is the sum of the interior angles of a 35-sided polygon? (Hint: Derive the algorithm for the sum of the interior angles of any polygon, in terms of a multiple of 180º.) 5760º 6120º 5940º 6300º

Answer 1

Since the formula for interior angles is 180 x (n-2), n being the amount of sides of the polygon, you replace n with 35, and you get this:

180 x (35-2), or 180 x 33, which equals 5940