Solve for x with given angle measures.

Step-by-step exx=3planation:

The exterior angle is equal to the sum of the opposite interior angles

3x^2 -6x+8x = 2x^2 +3x+6

Combine like terms

3x^2+2x=2x^2+3x+6

Subtract 2x^2 from each side

3x^2+2x -2x^2=2x^2-2x^2+3x+6

x^2+2x=3x+6

Subtract 3x from each side

x^2+2x-3x=3x-3x+6

x^2-x=6

Subtract 6 from each side

x^2 -x-6 =0

Factor

( x-3)(x+2) =0

Using the zero product property

x-3 =0  x+2 =0

x=3  x=-2

But x cannot be negative since an angle would have a negative value so

x=3

Check

3x^2 -6x+8x = 2x^2 +3x+6

3 ( 3)^2  -6(3) +8(3) = 2 (3)^2 +3(3)+6

3*9 -18 +24 = 2 *9 +9+6

27 -18+24 = 18+9+6

33=33

89

step-by-step explanation: