Question

Fill in the blanks.
For a convex polygon of n sides, we have:
(i) Sum of all exterior angles = .........
(ii) Sum of all interior angles = .........
(iii) Number of diagonals = .........

Answer 1

(i) Sum of all exterior angles = ${360}^{\circ }$

(ii) Sum of all interior angles = $(n-2)\times 180°$

(iii) Number of diagonals = $\frac{n(n-3)}{2}$