Question

the expression (40x^{2}-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?
(2x^{2}(20 - 32x+25x^{2}))
(2(8x^{2}-13x + 10))
(5x^{2}(8x^{2}-13x + 10))
(5(3x^{2}-8x + 5))

Explanation:

Step1: Find one angle measure

A pentagon has 5 interior angles. So one angle = $\frac{40x^2 - 65x + 50}{5} = 8x^2 - 13x + 10$.

Step2: Calculate two angles

Two angles = $2 \times (8x^2 - 13x + 10) = 2(8x^2 - 13x + 10)$.

Answer:

2(8x² - 13x + 10)