the expression 40x² - 65x + 50 represents the sum of the interior angles of a regular pentagon in degrees…

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?\n2x²(20 - 32x + 25x²)\n2(8x² - 13x + 10)\n5x²(8x² - 13x + 10)\n5(3x² - 8x + 5)

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?\n2x²(20 - 32x + 25x²)\n2(8x² - 13x + 10)\n5x²(8x² - 13x + 10)\n5(3x² - 8x + 5)

Answer

Answer:

B. $2(8x^{2}-13x + 10)$

Explanation:

Step1: Find measure of one - angle

A regular pentagon has 5 equal interior angles. The sum of interior angles is $40x^{2}-65x + 50$. So the measure of one angle is $\frac{40x^{2}-65x + 50}{5}=8x^{2}-13x + 10$.

Step2: Find measure of two - angles

Multiply the measure of one angle by 2. So the measure of two angles is $2(8x^{2}-13x + 10)$.