$A$ regular polygon of $n$ sides has $170$ diagonals,then $n$ is equal to

Let $P_{1}, P_{2}, \ldots, P_{15}$ be $15$ points on a circle. The number of distinct triangles formed by points $P_{i}, P_{j}, P_{k}$ such that $i+j+k \neq 15$ is:

If a polygon has $44$ diagonals,then it has ...... sides.

If the number of diagonals in a polygon with $n$ sides is $275$,then $n = .....$

$A$ rectangle with side lengths $2m - 1$ and $2n - 1$ is divided into unit squares by drawing parallel lines as shown. How many rectangles are there such that both side lengths are odd?

The number of diagonals in a regular polygon of $100$ sides is