How many diagonals can be drawn from each vertex of a decagon?
Answer: The number of diagonals that can be drawn from each vertex of a decagon is 7.
Let's look into the solution.
A decagon is a ten-sided polygon with ten vertices and ten angles.
Let's assume a decagon with all of its vertices going outward (as all of its angles are less than 180°).
Since there are 10 vertices, hence, a line can be drawn from each vertex towards the remaining 9 vertices. But 2 of these lines will not be diagonals as they are themselves the sides of the decagon.
So each of the 10 vertices will have 9 – 2 = 7 diagonals each.
Thus, the number of diagonals that can be drawn from each vertex of a decagon is 7.