MATHEMATICS

JAMB 2022 - Question 30

Mathematics 2022 JAMB Past Questions - Question 30: Each of the interior angles of a regular polygon is 1400. How many sides has the polygon?

Each of the interior angles of a regular polygon is 1400. How many sides has the polygon?
A:
B:
C:
D:
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Correct Answer

A

Explanation

To find the number of sides of a regular polygon given the measure of each interior angle, we can use the formula:Interior angle = (n - 2) * 180 / nwhere n is the number of sides of the polygon.In this case, we have an interior angle of 140 degrees.140 = (n - 2) * 180 / nTo solve for n, we can cross-multiply and simplify the equation:140n = 180n - 360360 = 180n - 140n360 = 40nn = 360 / 40n = 9Therefore, the polygon has 9 sides.