In the image, we are given two parallel lines $\overrightarrow{RT}$ and $\overrightarrow{UW}$, cut by a transversal line $\overrightarrow{QVX}$. The question asks us to identify alternate exterior angles.

Step-by-step explanation:

1. Parallel Lines and Transversals: When a transversal crosses two parallel lines, alternate exterior angles are formed on opposite sides of the transversal, outside the parallel lines. These angles are congruent.

2. Location of Alternate Exterior Angles:

   • The angles located outside the parallel lines $\overrightarrow{RT}$ and $\overrightarrow{UW}$ but on opposite sides of the transversal are called alternate exterior angles.

3. Identifying Alternate Exterior Angles:

   • Angle $\angle RSQ$: This is an exterior angle on the upper side of line $\overrightarrow{RT}$, to the left of the transversal.
   • Angle $\angle WVX$: This is an exterior angle on the lower side of line $\overrightarrow{UW}$, to the right of the transversal.

These two angles, $\angle RSQ$ and $\angle WVX$, form a pair of alternate exterior angles.

Correct Answer:

The correct answer is $\angle RSQ$ and $\angle WVX$.

Would you like more details or have any other questions?

Here are 5 follow-up questions you might find useful:

1. What is the definition of alternate interior angles?
2. How do you determine corresponding angles in a transversal diagram?
3. Why are alternate exterior angles congruent?
4. Can two angles be alternate exterior if they are on the same side of the transversal?
5. How can we use alternate exterior angles to prove that lines are parallel?

Tip: Remember that alternate exterior angles are always congruent when the lines cut by the transversal are parallel.