161k views
5 votes
Find the number of sides of a regular polygon if the sum of the interior angles of the

polygon is 7020

User Mansiemans
by
5.5k points

1 Answer

3 votes

Answer:

n = 6

Explanation:

Given the following data;

Sum of interior angles, S = 720°

Mathematically, the sum of the interior angles in a regular polygon is given by the formula;

S = 180(n - 2)

Where;

n is the number of sides.

S is the sim of the interior angles

720 = 180(n - 2)

720 = 180n - 360

180n = 720 + 360

180n = 1080

n = 6

User Alexander Janssen
by
5.0k points