MATHEMATICS
JAMB 2012 - Question 26
Mathematics 2012 JAMB Past Questions - Question 26: The angles of a polygon are given by x,2x,3x and 5x respectively .find the value of x.
A:
B:
C:
D:
Correct Answer
C
Explanation
sum of angle in polygon is 360.x + 2x + 3x + 4x + 5x = 36015x = 360x = 360/15x = 24In a polygon, the sum of all interior angles is given by the formula (n-2) * 180 degrees, where n is the number of sides or angles in the polygon.In this case, we have four angles in the polygon, so n = 4.The sum of the interior angles is:x + 2x + 3x + 5x = (n-2) * 180Simplifying the left side of the equation:11x = 2 * 180Dividing both sides by 11:x = 2 * 180 / 11x ≈ 32.73Therefore, the value of x is approximately 32.73.
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