Question

which angles are alternate exterior angles?
∠rsq and ∠wvs
∠rsq and ∠tsq
∠rsq and ∠uvs
∠rsq and ∠wvx

Explanation:

Step1: Recall Alternate Exterior Angles Definition

Alternate exterior angles are formed when a transversal crosses two parallel lines. They lie outside the two lines and on opposite sides of the transversal.

Step2: Analyze Each Option

• Option 1: \( \angle RSQ \) and \( \angle WVS \): \( \angle WVS \) is interior, not exterior. Eliminate.
• Option 2: \( \angle RSQ \) and \( \angle TSQ \): These are adjacent, not alternate exterior. Eliminate.
• Option 3: \( \angle RSQ \) and \( \angle UVS \): \( \angle RSQ \) is outside line \( RS \), \( \angle UVS \) is outside line \( UV \), on opposite sides of transversal \( XQ \). Fit alternate exterior.
• Option 4: \( \angle RSQ \) and \( \angle WVX \): \( \angle WVX \) is not formed with the same transversal/parallel lines correctly. Eliminate.

Answer:

\( \angle RSQ \) and \( \angle UVS \) (assuming the option with this pair is the correct one; based on the analysis, the pair \( \angle RSQ \) and \( \angle UVS \) are alternate exterior angles)