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
(1 point)
Responses
6
6
7
7
8
8
9
9
Answers
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.
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.