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)

Answer 1

Answer:

2(8x^2-13x+10)

Explanation:

There are 5 angle s in a pentagon and we are assuming are pentagon is a regular one so the angles are all congruent.

Let's let A represent the measurement of one of the those angles in our pentagon.

The sum of our angles in our pentagon would then be A+A+A+A+A or 5A.

But we are also given that this equals 40x^2-65x+50.

So that means 5A=40x^2-65x+50.

If we divide both sides by 5 we can find what one of our angles is in terms of x.  So let's do that A=8x^2-13x+10.

So we want to know the sum of two our angles, we want to know what is A+A or 2A.  2A=2(8x^2-13x+10).  To obtain that I just multiplied both sides of A=8x^2-13x+10 by 2.

Answer 2

Answer:

5(3x2 – 8x + 5)

Explanation:

It's D on edg 2020