Question

part c based on your observations, what is the relationship between a linear pair and supplementary angles?

Explanation:

A linear pair is a specific set of two adjacent angles formed by intersecting lines, whose non-common sides are opposite rays. By definition, these two angles form a straight line, so their sum is 180 degrees. Supplementary angles are any two angles (adjacent or non-adjacent) that add up to 180 degrees. This means all linear pairs qualify as supplementary angles, but not all supplementary angles form a linear pair (since supplementary angles do not need to be adjacent or share a common side/vertex).

Answer:

All linear pairs of angles are supplementary angles, but not all supplementary angles form a linear pair. A linear pair is a specific type of supplementary angles where the two angles are adjacent and their non-common sides form a straight line.