Geometry

Question Analysis

This question involves the concept of linear pairs of angles.

Key Concept Explanation

A linear pair is a set of two adjacent angles that share a common vertex and a common side, and whose non - common sides form a straight line. The sum of angles in a linear pair is 180°.

Step - by - Step Solution

1. Analyze each option:

A.Angles c and i:

These angles are not adjacent. They do not share a common vertex and a common side as required for a linear pair. So, they do not form a linear pair.

B.Angles c and a:

They are vertical angles as they are opposite each other at the intersection of two lines. They are not adjacent in the way needed for a linear pair. So, they do not form a linear pair.

C.Angles c and d:

Angles c and d share a common vertex and a common side. Their non - common sides form a straight line. Thus, they form a linear pair.

D.Angles c and f:

These angles are neithe...