Question

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

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: Analyze each option

• For \(\angle7\) and \(\angle15\):
• \(\angle7\) lies outside the parallel lines \(r\) and \(s\) (above line \(s\)) and \(\angle15\) lies outside the parallel lines \(r\) and \(s\) (below line \(r\)).
• They are on opposite sides of the transversals.
• For \(\angle5\) and \(\angle13\): \(\angle5\) is not an exterior angle.
• For \(\angle6\) and \(\angle16\): \(\angle6\) is not an exterior angle.
• For \(\angle8\) and \(\angle14\): \(\angle8\) is not an exterior angle.

Answer:

\(\angle7\) and \(\angle15\)