Question

A pattern exists in the sum of the interior angles of polygons. The sum of the interior angles of a

triangle is 180°, of a quadrilateral is 360°, and of a pentagon (5 sides) is 540°. What is the sum of
the interior angles of a nonagon (9- sided shape)?

Answer 1

1,620 degrees.

Explanation:

It has a steady pattern. 180 x 2 = 360, which is quadrilateral. 180 x 3 = 540, which is a pentagon. so, 180 x 9 = 1,620