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How many diagonal does of the following have A convex quadrilateral .

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Question

How many diagonal does of the following have A convex quadrilateral .

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Solution

An n-sided convex polygon has  \[\frac{n(n - 3)}{2}\]  diagonals. 

A quadrilateral has \[\frac{4(4 - 3)}{2} = 2\] diagonals. 

There are 2 diagonals in the convex quadrilateral.

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