Question

Number of diagonals drawn from a vertex in a decagon. a) 8 b) c) 6 d) 5​

Answer 1

Answer:

No. of diagonals = 35

Step-by-step explanation:

formula

diagonals = n(n-3)/2

d= 10 * 7 / 2= 35

Answer 2

Answer:

7

Step-by-step explanation:

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.

Hope it helps you.