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 equal in measure.

Step-by-Step Solution

1. For each angle pair, identify the two intersecting lines that form them.

2. Check if the angles are non - adjacent and formed by the same two lines. If so, they are vertical angles.

Option Analysis

A.∠YTS & ∠XTY: ∠YTS is formed by lines SZ and WY, while ∠XTY is formed by lines XR and WY. Since they are formed by different pairs of lines, this is not a pair of vertical angles.

B.∠WTZ & ∠STW: Both ∠WTZ and ∠STW are formed by lines SZ and WY, but they are adjacent angles (share a common side), so they are not vertical angles.

C.∠YTS & ∠WTZ: These two angles are formed by the interse...