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How many sides does a polygon have if the sum of the interior angles is 4140ᵒ?

Sagot :

Answer:

25

Step-by-step explanation:

Sum of all interior angles of a polygon

= (n - 2) 180⁰

Given that the sum of the interior angles is 4140ᵒ, then

4140⁰ = (n - 2) 180⁰

Divide both sides by 180⁰

n - 2 = 23

Add +2 to both sides

n = 23 + 2

n = 25

Therefore, the polygon has 25 sides.