MATHEMATICS
JAMB 2019 - Question 11
Mathematics 2019 JAMB Past Questions - Question 11: A regular polygon has 1500 as the size of each interior angle. How many sides has the polygon?
A:
B:
C:
D:
Correct Answer
A
Explanation
To find the number of sides in a regular polygon with an interior angle of 1500, we can use the formula for the interior angle of a regular polygon:Interior angle = (n-2) * 180° / nWhere n is the number of sides.We can rearrange this formula to solve for n:1500 = (n-2) * 180° / nMultiplying both sides by n gives:1500n = 180n - 360Subtracting 180n from both sides gives:1320n = 360Dividing both sides by 1320 gives:n = 360 / 1320n = 3 / 11Since the number of sides must be a whole number, it seems there might be a mistake in the question or the angle measurement. An interior angle of 1500 degrees is not possible for a regular polygon. Please double-check the angle measurement or the question.
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