Answer:
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