Question

The difference between the measure of an internal angle and an external angle of regular polygon is 150${}^0$. The number of diagonals that can be drawn is -

• A. 232
• B. 262
• C. 252
• D. 272

Answer 1

The correct option is C

252

$\frac{(n-2){180}^0}{n}$- $\frac{2{\times 180}^0}{n}$ = 150${}^0$ n = 24 The number of diagonals that can be drawn in an `n' sided polygon is $\frac{n(n-3)}{2}$ = 252