Question

Find the sum of the interior angles of a polygon with seven sides.

Answer 1

A 1,080°
B 1,260°
C 900°

Answer 2

So, here's a drawing of such a polygon. You'll notice that I've drawn triangles by connecting vertices. The sum of all the angles of the original polygon is equal to the sum of the angles of these triangles. There are 5 triangles and each has angles totaling 180 degrees, so 5*180=900.

In general, you can use the formula based on this idea for any polygon. You can always draw a number of triangles equal to 2 fewer than the number of sides. So, if a polygon has n sides, the sum of all it's internal angles is (n-2)*180.

Answer 3

so then my answer is B 900

Answer 4

C 900*

Answer 5

900 degrees is correct