The conclusion reached by the proof is option B which is <BOY = <XOB
What is the vertical angle theorem?
The vertical angle theorem can be described as the theorem that is used to state that when there is an intersection between two lines, the would form two opposite vertical angles that are equal and also congruent to themselves.
From the definition that we have above,
Given data
<WOA = <AOZ
The proof
<AOZ = <XOB vertical angle theorem
following the pattern above it means that
<WOA = <BOY
hence
<WOA = <AOZ = <BOY = <XOB
so the proof has helped to to conclude that <BOY = <XOB
From the question, given that WOA and AOZ are equal and they are opposite angles to what we have in XOB and BOY, then we can say that the angles are equal to themselves. Therefore the correct solution we would have to the question which goes with the explanation is option B.
Read more on vertical angles theorem here: https://brainly.com/question/18614762
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