The question asks us to find m∠ABC. We know that ray BD is a bisector of ∠ABC. So, all we need to do now is equate the expressions of ∠ABD and ∠DBC to the expression of ∠ABC. Here is what we get from this:
[tex](9x-7)+(3x+17) = 16x-2[/tex]
Now, just solve for x. When doing so, we get the answer x = 3. Since we have the value for x, all we need to do is plug in that value to the expression for ∠ABC, which would result in 46. This means that the answer to your query is ∠ABC = 46°. Hope this helps and have a phenomenal day!
