Question

Determine the value of y if m=1

Answer 1

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; brainly.com/question/11493301

#SPJ1