MATHEMATICS

JAMB 2009 - Question 25

Mathematics 2009 JAMB Past Questions - Question 25: A regular polygon has 150° as the size of each interior angle. How many sides does it have?

A regular polygon has 150° as the size of each interior angle. How many sides does it have?
A:
B:
C:
D:
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Correct Answer

A

Explanation

x+150 = 180 (sum of angle on straight line)x = 180 - 150, x = 30number of sides (n) = 360/3 = 12 To evaluate x when |P| = -10, we need to find the value of x that satisfies the equation. Given that P = (x+1)(x-1), we can rewrite |P| as |(x+1)(x-1)|. Since the absolute value of a product is equal to the product of the absolute values, we have: |(x+1)(x-1)| = |x+1| * |x-1| Now, we are given that |P| = -10. However, the absolute value of any number is always non-negative, so it cannot be negative. Therefore, there is no value of x that satisfies the equation |P| = -10. Hence, there is no solution for x in this case.