Question

If the sum of the interior angles of a polygon is 900°, then how many sides does the polygon have?

(1 point)
Responses

6
6

7
7

8
8

9
9

Answer 1

[AI-generated answer — Bot GPT 3.5]

The sum of the interior angles of a polygon is given by the formula (n-2) * 180°, where n is the number of sides of the polygon.

Setting this formula equal to 900°, we have:

(n-2) * 180° = 900°

Divide both sides by 180°:

n-2 = 900° / 180°

n-2 = 5

n = 5 + 2

n = 7

Therefore, the polygon has 7 sides.