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Mathematics

Statement 1: Through a vertex of a polygon, 3 diagonals can be drawn.

Statement 2: The polygon is hexagon.

  1. Both the statements are true.

  2. Both the statements are false.

  3. Statement 1 is true, and statement 2 is false.

  4. Statement 1 is false, and statement 2 is true.

Rectilinear Figures

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Answer

It is possible through a vertex of a polygon, to draw 3 diagonals.

The number of diagonals from a single vertex in a polygon with n sides is n - 3.

3 = n - 3

n = 3 + 3 = 6.

A polygon with 6 sides is a hexagon.

∴ Both the statements are true.

Hence, option 1 is the correct option.

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