54.7k views
1 vote
If a polygon had 52 sides, what would be the sum of the interior angles?

User Kos Prov
by
8.3k points

1 Answer

2 votes

Final answer:

The sum of the interior angles of a polygon with 52 sides is calculated using the formula (n - 2) × 180°, where n is the number of sides. This results in a sum of 9000° for a 52-sided polygon.

Step-by-step explanation:

To calculate the sum of the interior angles of a polygon, we can use the formula:

Sum of interior angles = (n - 2) × 180°

where n is the number of sides of the polygon. In the case of a polygon with 52 sides:

Sum of interior angles = (52 - 2) × 180°

Sum of interior angles = 50 × 180°

Sum of interior angles = 9000°

The sum of the interior angles of a polygon with 52 sides is therefore 9000 degrees.

User Abhigyan Gaurav
by
7.9k points