Question

which angles are alternate exterior angles with ∠11? ∠6 and ∠16 ∠7 and ∠15 ∠8 and ∠14 ∠5 and ∠13 parallel lines r and s are cut by two transversals, parallel lines t and u.

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: Analyze each pair

• For \(\angle6\) and \(\angle16\): \(\angle6\) is an interior angle (between the parallel lines \(r\) and \(s\)), so this pair is not alternate exterior angles.
• For \(\angle7\) and \(\angle15\): \(\angle7\) is an interior angle (between the parallel lines \(r\) and \(s\)), so this pair is not alternate exterior angles.
• For \(\angle8\) and \(\angle14\): \(\angle8\) is an interior angle (between the parallel lines \(r\) and \(s\)), so this pair is not alternate exterior angles.
• For \(\angle5\) and \(\angle13\):
• They are non - adjacent.
• They are exterior angles (outside the parallel lines \(r\) and \(s\)).
• They lie on opposite sides of the transversal.

Answer:

\(\angle5\) and \(\angle13\)