Answer:
54°
Step-by-step explanation:
Given BD bisects ∠ABC, which means it divided the angle into two equal parts, we can write the following equation to find the value of x, then the measure of ∠ABC:
9x = 8x + 3 subtract 8x from both sides
x = 3
The measure of ∠ABC = ∠ABD + ∠DBC
∠ABC = 9x + 8x + 3 add like terms
∠ABC = 17x + 3 replace x with 3
∠ABC = 17*3 + 3 and
∠ABC = 54°
