Geometry

Question Analysis

This question involves the concepts of vertical angles and linear pairs formed by intersecting lines.

Key Concept Explanation

Vertical angles: These are formed when two lines intersect. They are opposite each other and have equal measures.

Linear pair: A linear pair consists of adjacent angles (sharing a common vertex and a common side) whose non - common sides form a straight line. The sum of angles in a linear pair is .

Step - by - Step Solution

1. Examine the position of angles and :

Angles and are adjacent as they share a common vertex and a common side.

However, their non - common sides do not form a straight line. So, they are not a linear pair.

Also, they are not opposite each other, so they are not vertical angles. Thus, the answer is neither.

Option Analysis

A.vertical angles: Incorrect. Since

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