Question 59

The number of diagonals in a decagon is:

Solution

A decagon is a 10-sided polygon. The formula for number of diagonals is $$\frac{n(n-3)}{2}$$

Substituting n as 10 we get, $$\frac{10(7)}{2} = 35$$

So there are 35 diagonals in a decagon.

Hence, option D is the correct answer.

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