Answer:
∠ ABC = 134°
Step-by-step explanation:
Given tat CD bisects ∠ ABC then
∠ DBC = ∠ ABD , substitute values
x - 33 = [tex]\frac{x}{2}[/tex] + 17 ( multiply through by 2 to clear the fraction )
2x - 66 = x + 34 ( subtract x from both sides )
x - 66 = 34 ( add 66 to both sides )
x = 100
Thus
∠ DBC = ∠ ABD = x - 33 = 100 - 33 = 67°
Hence
∠ ABC = ∠ DBC + ∠ ABD = 67° + 67° = 134°
