find angle ABC in the attached figure
Attachments:
Answers
Answered by
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°
Similar questions