From the line theorems explained below and when we apply it to the given image, we have; X║Y, A║B, Z ⊥ A
What is the transverse line theorem?
The perpendicular transversal theorem states that in a plane, if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other line.
Now, since we are told that Line X is perpendicular to Line A, then it means that Line X is also perpendicular to line B.
The inverse of perpendicular transversal theorem states that if there are two perpendicular lines to a straight line, they're parallel to each other. Thus, it means that Line X is parallel to Line Y and similarly, line A is parallel to Line B.
Read more about Transverse Line Theorem at; https://brainly.com/question/12834964
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