Fill in the blanks.

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 = .........

Solution:

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

(ii) Sum of all interior angles $=(n-2) \times 180^{\circ}$

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

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