MATHEMATICS

JAMB 2011 - Question 27

Mathematics 2011 JAMB Past Questions - Question 27: What is the size of each interior angle of a 12 sided regular polygon?

What is the size of each interior angle of a 12 sided regular polygon?
A:
B:
C:
D:
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Correct Answer

B

Explanation

interior angle = (n-2) 180but n = 12 = (12-2) 180 = 10 x 180 = 1,800let each interior angle = xtherefore x = (n-2)180/n x = 1,800/12 = 150To find the size of each interior angle of a regular polygon, we can use the formula:Interior Angle = (n-2) * 180 / nWhere n is the number of sides of the polygon.For a 12-sided regular polygon, we substitute n = 12 into the formula:Interior Angle = (12-2) * 180 / 12Simplifying:Interior Angle = 10 * 180 / 12Interior Angle = 1800 / 12Interior Angle = 150Therefore, the size of each interior angle of a 12-sided regular polygon is 150 degrees.

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