Question

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

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are non - adjacent angles that lie outside the two parallel lines and on opposite sides of the transversal.

Step2: Identify the angles relative to ∠5

For the given set of parallel lines \(r\parallel s\) and \(t\parallel u\), when considering the transversal relationships:

• If we consider the transversal \(s\) (intersected by \(t\) and \(u\)) and the parallel lines \(t\) and \(u\), and also the parallel lines \(r\) and \(s\).
• The alternate exterior angles of \(\angle5\) are \(\angle12\) and \(\angle1\).

Answer:

\(2\)