MATHEMATICS

JAMB 2002 - Question 35

Mathematics 2002 JAMB Past Questions - Question 35: The sum of the interior angle of a polygon is 20 right angles .how many sides does the polygon have?

The sum of the interior angle of a polygon is 20 right angles .how many sides does the polygon have?
A:
B:
C:
D:
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Correct Answer

A

Explanation

In a polygon, the sum of the interior angles can be calculated using the formula:Sum of Interior Angles = (n - 2) * 180 degreeswhere n is the number of sides of the polygon.Given that the sum of the interior angles is 20 right angles, we can convert it to degrees:20 right angles = 20 * 90 degrees = 1800 degreesSetting the formula equal to 1800 degrees, we have:(n - 2) * 180 = 1800Dividing both sides by 180:n - 2 = 10Adding 2 to both sides:n = 12Therefore, the polygon has 12 sides.