Question

The sum S of the measures of the interior angles of a polygon with n sides is given by the formula S equals 180 (x minus 2 ). The interior angles of a certain polygon have a sum of 1 comma 620 degree. How many sides does the polygon have

Answer 1

Explanation:

oh boy, the typing or the scan of the question did a lot of strange things in the description.

so, let's write this properly :

the sum S of all interior angles of a polygon with n sides is

S = 180×(n - 2)

in the given example this S = 1,620 (right ?).

so,

1620 = 180×(n - 2)

9 = n - 2

n = 11

the polygon has 11 sides.