181k views
0 votes
The sum of the interior angles of a polygon is 2700 degrees. Calculate the number of sides.

1 Answer

6 votes

Answer:

17 sides

Explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here sum = 2700° , then

180°(n - 2) = 2700° ( divide both sides by 180° )

n - 2 = 15 ( add 2 to both sides )

n = 17

The polygon has 17 sides

User Trent Scott
by
3.5k points