MATHEMATICS

JAMB 2015 - Question 24

Mathematics 2015 JAMB Past Questions - Question 24: How many sides hs a regular polygon whose interior angle is 1350 each?

How many sides hs a regular polygon whose interior angle is 1350 each?
A:
B:
C:
D:
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Correct Answer

D

Explanation

E=180-135=450n=360 45=8To find the number of sides in a regular polygon with interior angles of 135 degrees, we can use the formula:n = 360° / AWhere n is the number of sides and A is the measure of each interior angle.Plugging in the given angle measure:n = 360° / 135°n ≈ 2.6667Since the number of sides must be a whole number for a regular polygon, we can conclude that a regular polygon with interior angles of 135 degrees does not exist. The closest regular polygon would be a hexagon with interior angles of 120 degrees.