The interior angle of a regular polygon is 168º. Find the number of sides of the polygon.
- 24
-
30
- 15
- 12
The correct answer is: B
Explanation
Nos of sides of a regular polygon is given by: \(\frac{(n - 2) \times 180}{\text{n}}\) = One interior angle of the polygon.
where n = number of sides of the polygon
168 = \(\frac{(n - 2) \times 180}{\text{n}}\)
Cross multiplying, we have:
168n = 180n - 360
168n - 180n = - 360
- 12n = - 360
n = \(\frac{-360}{-12}\) = 30.