Geometry

Question Analysis

This question involves the geometric concept of vertical angles.

Key Concept Explanation

Vertical angles are created when two lines intersect. They are non - adjacent angles where the sides of one angle are the opposite rays of the sides of the other angle, and vertical angles are always congruent.

Step-by-Step Solution

1. For each pair of angles, identify the two lines that intersect to form them.

2. Check if the angles are non - adjacent and formed by the same two intersecting lines.

Option Analysis

A.∠WTX & ∠ZTY: ∠WTX is formed by lines RX and WZ, while ∠ZTY is formed by lines SY and ZW. Since they are not formed by the same two lines, this pair is not vertical angles.

B.∠XTS & ∠XTY: These two angles share a common side (ray XT), so they are adjacent angles, not vertical angles.

C.∠YTR & ∠XTY: These angles share a common side (ray YT), so they are adjacent angles, not vertical angles.