Question

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)

Explanation:

Step1: Find measure of one angle

Since sum of interior angles of pentagon is \(40x^{2}-65x + 50\) and there are 5 equal - angled interior angles, measure of one angle is \(\frac{40x^{2}-65x + 50}{5}=8x^{2}-13x + 10\).

Step2: Find measure of two angles

Multiply measure of one angle by 2: \(2(8x^{2}-13x + 10)\).

Answer:

\(2(8x^{2}-13x + 10)\)