Geometry

Question Analysis

This question tests your understanding of linear pairs and vertical angles.

 

Key Concept Explanation

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

Vertical Angles: Angles formed when two lines intersect, opposite each other and having equal measures.

 

Step - by - Step Solution

1. Analyze each option:

A.Angles h and f:

Angles h and f 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, so they don't form a linear pair.

 

B.Angles b and e:

These angles are not adjacent. They lack a common vertex and a common side as needed for a linear pair. Thus, they do not form a linear pair.

 

C.Angles i and c:

They are not adjacent and have no relationship that would make them a linear pair. They are at different intersections and don't share the necessary common elements.

 

D.Angles j and i:

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