In a pentagon how many diagonals can be drawn from a vertex to other vertices
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- when counting the diagonals to count each one only once.
- For example, a pentagon (
sides) has only
diagonals.
- Each vertex has two diagonals, so if you counted each diagonal from every vertex twice, you might think there were
diagonals.
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Answer:
In a pentagon, 10 diagonals can be drawn from a vertex to other vertices.
Step-by-step explanation:
Since pentagon has five vertices with five diagonals.
But from each vertex, two possible diagonals can be drawn. Thus, each vertex has two diagonals.
Total number of diagonals = Number of vertices × Possible number of diagonals from each vertex.
Total number of diagonals = 5 × 2
= 10
Therefore, 10 diagonals can be drawn from a vertex to other vertices in a pentagon.
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