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21. classify $\\angle 1$ and $\\angle 2$ using all relationships that a…

Question

  1. classify $\angle 1$ and $\angle 2$ using all relationships that apply.

Explanation:

Step1: Identify Angle Relationship

∠1 and ∠2 are adjacent angles formed by two intersecting lines. They also form a linear pair (sum to \(180^\circ\)) and are supplementary (since linear pairs are supplementary). Also, if we consider vertical angles or adjacent, but here they share a common side and vertex, and their non - common sides form a straight line.

Step2: List Applicable Relationships

  • Adjacent Angles: They share a common vertex and a common side.
  • Supplementary Angles: Their measures add up to \(180^\circ\) (as they form a linear pair).
  • Linear Pair: A pair of adjacent angles whose non - common sides are opposite rays (form a straight line).

Answer:

∠1 and ∠2 are adjacent angles, supplementary angles, and form a linear pair.