Question

find angle ABC in the attached figure​

Answer 1

Answer:

angle A + angle C = angle ABD ( by exterior angle property of triangle)

therefore, (2x²+1) + (3x+6) = 3x²+1+2x

2x²+3x+7 = 3x² +2x +1

0= 3x² - 2x² + 2x - 3x + 1 - 7

0= x² - x -6

0= x² -3x +2x -6

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

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

therefore x = 3 and (-2)

angle abc = 160° or 165°