Answer :

[tex]\begin{gathered} The\text{ number of diagonals in the polygon is as follows:} \\ \text{Diagonals}=\frac{n(n-3)}{2} \\ \text{Here, n is the number of sides} \\ So,\text{ } \\ \text{Diagonals}=\frac{10(10-3)}{2} \\ \text{Diagonals}=\frac{10\times7}{2} \\ \text{Diagonals}=35 \end{gathered}[/tex]