There is a polygon of 10 sides. How many triangles can be drawn using the vertices of the polygon?

There is a polygon of 10 sides. How many triangles can be drawn using the vertices of the polygon?

In the given figure, what is value (in degrees) of Q?

How many diagonals can be there in a regular polygon with 37 sides?

The number of diagonals in a hexagon is :

If  $$(x_1, y_1)$$​ is the solution of the pair of equations: $$\frac{x}{10} + \frac{y}{5} - 1 = 0$$​ and$$\quad \frac{x}{8} + \frac{y}{6} = 15 \\$$ 
and $$y_1 = \lambda x_1 + 5,$$​ then the value of $$\lambda$$​ is:

The number of real solutions of the equation x² − 3|x| + 2 = 0 is:

The interior angles of a polygon are in arithmetic progression. The smallest angle is 120° and the common difference is 5°. Find the number of sides of the polygon.

The difference between the interior and exterior angles of a regular polygon is 60°. Find the number of sides in the polygon.

For a regular polygon, the sum of the interior angles is 250% more than the sum of its exterior angles. Each interior angle of the polygon measures x°. What is the value of x?

The difference between an interior angle and an exterior angle of a regular polygon is 140°. Find the number of sides of the polygon.​