Q:

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)

Accepted Solution

A:
the internal angles of a regular pentagon add up to  540 degrrees so two of the angles add up to  2/5 * 540  = 216 degrees
so we multiply the given expression by 2/5  to get the answer.
(
(40x^2  - 65x  + 50)  * 2/5

= 16x^2 - 26x + 20)

= 2(8x^2 - 13x + 10)   which is choice B.