The value of the angle y of the given line transversal is 45°
What is the transverse line theorem?
The transverse Line theorem states that If two parallel lines are cut by a transversal, then, Alternate Exterior Angles are congruent. If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.
Now, from the question we are told that line m is parallel to line n which we see in the attached image.
Now, from the transverse Line theorem as defined above, we can say that the sum of y° and 135° will be equal to 180°due to both being opposite interior angles. Thus;
y = 180 - 135
y = 45°
Correct question is;
Find the value of y if m∥ n.
Read more about Transverse Line theorem at; https://brainly.com/question/11493301
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