The sum of the interior angles of regular polygon is 1800 o . How many

MATHEMATICS
WAEC 2012

The sum of the interior angles of regular polygon is 1800o. How many sides has the polygon?

  • A. 16
  • B. 12
  • C. 10
  • D. 8

Correct Answer: B. 12

Explanation

Sum = (n - 2)180

1800 = (n - 2)180

divide both sides by 180o

\(\frac{1800}{180}\) = (n - 2)\(\frac{180}{180}\)

10 = n - 2

10 + 2 = n

n = 12



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