GEOM 2 | Lesson 1 | Try This! Solutions (Congruent Angles)

1. All pairs of supplementary angles: \(\angle 1\) and \(\angle 2\); \(\angle 1\) and \(\angle 5\); \(\angle 2\) and \(\angle 5\);\(\angle 6\) and \(\angle 7\); \(\angle 7\) and \(\angle 8\); \(\angle 8\) and \(\angle 9\); and \(\angle 6\) and \(\angle 9\)
2. All pairs of complementary angles:  \(\angle 3\) and \(\angle 4\)
3. Identify all vertical angles: \(\angle 2\) and \(\angle 5\), \(\angle 6\) and \(\angle 8\), \(\angle 7\) and \(\angle 9\)
4. Answers vary to show that \(m\angle 6=m\angle 8\) and \(m\angle 7=m\angle 9\).
5. What can you conclude about the measures of vertical angles? Vertical angles are congruent.
6. All sets of congruent angles: \(m\angle 3=m\angle 4=m\angle 6=m\angle 8\); \(m\angle 1=m\angle 2=m\angle 5\); \(m\angle 6=m\angle 8\); \(m\angle 7=m\angle 9\)
   

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