Q2 of 26 Page 49

The sum of the angles of a polygon is 8100°. How many sides does it have?

Given: Sum of the angles = 8100°

Sum of the angles of n-sided polygon = (n – 2) × 180°


⇒ 8100° = (n – 2) × 180°


⇒


⇒ 45 = n – 2


⇒ n = 45 + 2


⇒ n = 47


∴ The number of sides of polygon having sum of the angles of 8100° is 47 sides.


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