Question

The sides of a regular polygon of n sides, n < 4, are extended to form a star. The number of a degrees at each point of the star is :

• A. $\frac{360}{n}$
• B. $\frac{(n-4)180}{n}$
• C. $\frac{(n-2)180}{n}$
• D. $180-\frac{90}{n}$
• E. $\frac{180}{n}$

Answer 1

Answer: (B)

$\frac{(n-4)180}{n}$

Given sides of regular polygon are extended to form a star.

Number of sides = n

$\therefore$ Internal angle of polygon is angle at each point of star.

$\therefore$ Number of degrees at each point of the star = $\left(\frac{n-4}{n}\right)180°$