The expression 40x2 – 65x + 50 represents the sum of the interior angles of a regular pentagon in degrees. If the interior angles of the pentagon are equal, which expression represents the measure of two angles?
2x2(20 – 32x + 25x2)
2(8x2 – 13x +10)
5x2(8x2 – 13x + 10)
5(3x2 – 8x + 5)

Respuesta :

Answer:

The answer is: 5x2 (8x2 - 13x + 10).

Explanation:

The expression 40x2 - 65x + 50

The expression that represents the measure of two angles is this:

5x2 (8x2 - 13x + 10);

(5 x 8x2) - (5 x 13x) + (5 x 10);

40x2 - 65x + 50

The answer is: 5x2 (8x2 - 13x + 10).

The measure of two angles in the polygon is 5x^2 (8x^2 - 13x + 10).

What is a polygon?

A polygon refers to any n sided figure. The number of sides in a polygon can range from 2 to infinity. We are told in this case that the figure is a pentagon hence it has five sides.

If we designate each side of the polygon as x and all angles are equal. The measure of two angles in the polygon is 5x^2 (8x^2 - 13x + 10).

Learn more about polygon: https://brainly.com/question/17756657