Question

how many diagonals can be drawn from each vertex of a hexagon? ___ diagonals per vertex question 15 how many diagonals does a quadrilateral have? ___ diagonals

Explanation:

Step1: Recall the formula for diagonals from a vertex

The formula for the number of diagonals from a single vertex of an \(n\) - sided polygon is \(n - 3\). For a hexagon, \(n=6\).

$$6 - 3$$

Step2: Calculate the value

$$6-3 = 3$$

Step3: Recall the formula for total diagonals of a polygon

The formula for the total number of diagonals of an \(n\) - sided polygon is \(\frac{n(n - 3)}{2}\). For a quadrilateral, \(n = 4\).

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Step4: Calculate the value

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Answer:

3 diagonals per vertex for a hexagon.
2 diagonals for a quadrilateral.