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parallel lines r and s are cut by two transversals, parallel lines t an…

Question

parallel lines r and s are cut by two transversals, parallel lines t and u. how many angles are alternate exterior angles with angle 5?

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are non - adjacent exterior angles that lie on opposite sides of the transversal.

Step2: Identify the transversals and parallel lines

Lines \(r\) and \(s\) are parallel, and lines \(t\) and \(u\) are parallel.
For angle \(5\), when considering the transversal \(s\) and the other parallel line \(r\) (with transversal \(t\)), angle \(1\) is an alternate exterior angle with angle \(5\). When considering the transversal \(s\) and the parallel line \(r\) (with transversal \(u\)), angle \(13\) is an alternate exterior angle with angle \(5\)

Answer:

\(2\)