Geometry

Question Analysis

This question involves the concept of vertical angles.

Key Concept Explanation

Vertical angles are formed when two lines intersect. They are non - adjacent angles with the property that the sides of one angle are the opposite rays of the sides of the other angle.

Step-by-Step Solution

1. Examine each pair of angles. For two angles to be vertical, they must be formed by the same two intersecting lines and be non - adjacent.

2. Analyze the lines that form each angle in the pairs.

Option Analysis

A.∠RTS & ∠RTZ: These angles share a common side (ray RT), so they are adjacent angles, not vertical angles.

B.∠RTS & ∠WTX: ∠RTS is formed by lines RX and SY, while ∠WTX is formed by lines RX and WZ. Since they are not formed by the same two lines, they are not vertical angles.

C.∠XTY & ∠RTS: Both angles are formed by the intersection of lines RX and SY, a...