Geometry

Question Analysis

This question is about identifying linear - pair angle relationships among given options.

Key Concept Explanation

Linear Pair: Adjacent angles sharing a common vertex and side, with non - common sides forming a straight line and the sum being 180°.

Vertical Angles: Angles formed when two lines intersect, opposite each other and of equal measure.

Step - by - Step Solution

1. Analyze each option:

A.Angles a and c:

Angles a and c are vertical angles since they are opposite each other at the intersection of two lines. They are not adjacent in the way required for a linear pair (non - common sides don't form a straight - line for a linear - pair context here), so they don't form a linear pair.

B.Angles d and g:

These angles are neither adjacent nor do they have a relationship that would make them a linear pair. They don't share a common vertex and side appropriately.

C.Angles f and e:

Angles f and e are adjacent, share a common vertex and side, and their non - common sides form a straight line. Thus, they form a linear pair.

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