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multiple choice 3 points which lines, if any, are parallel below?

Question

multiple choice 3 points which lines, if any, are parallel below?

Explanation:

Step1: Find the supplementary angle of \(70^{\circ}\)

The supplementary angle of \(70^{\circ}\) is \(180^{\circ}-70^{\circ} = 110^{\circ}\)

Step2: Check the relationship between angles

Since the supplementary angle of \(70^{\circ}\) (\(110^{\circ}\)) is equal to the angle adjacent to line \(y\), by the converse of the same - side interior angles theorem, lines \(w\) and \(y\) are parallel.

Answer:

Lines \(w\) and \(y\) are parallel.