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Question
The sum of the angles of a polygon is 2700°. How many sides does it have?
The sum of the angles of a polygon is 2700°. How many sides does it have?
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Solution
Sum of angles of the given polygon = 2700°
We know that the sum of the angles of a polygon with n sides = (n −2) × 180°
⇒ (n −2) × 180° = 2700°
⇒ n −2 = 
⇒ n −2 = 15
⇒ n = 17
Thus, the given polygon has 17 sides.
Sum of angles of the given polygon = 2700°
We know that the sum of the angles of a polygon with n sides = (n −2) × 180°
⇒ (n −2) × 180° = 2700°
⇒ n −2 =
⇒ n −2 = 15
⇒ n = 17
Thus, the given polygon has 17 sides.
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