If the sum of the interior angles of a polygon is 3780o, find the number of sides.

23 sides

Step-by-step explanation:

The sum S of the interior angles of an n sided polygon is given as

S = (n - 2) 180°

Where S is the sum of the interior angles and n is the number of sides.

Given that the sum of the interior angles is 3780° then

3780° = (n - 2) 180

Divide both sides of the equation by 180

21 = n - 2

n = 21 + 2

= 23

The polygon has 23 sides