Geometry

Question Analysis

This question involves the geometric concept of vertical angles.

Key Concept Explanation

Vertical angles are formed 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 pair of angles, determine the two intersecting lines that form them.

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

Option Analysis

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

B.∠ZTW & ∠RTY: ∠ZTW is formed by lines SZ and WY, and ∠RTY is formed by lines WY and XR. As they are formed by different pairs of lines, this is not a pair of vertical angles.

C.∠YTS & ∠WXZ: There is no angle ∠WXZ in the given diagram, so this option is incorrect.