Congruent Angles
definitions
- Congruent angles are angles that have equal measures.
- Complementary angles are two angles that sum to 90°.
- Supplementary angles are two angles that sum to 180°.
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Vertical angles are two angles that are across from each other when two lines intersect.
In the figure below, \(m\angle 1=90^{\circ}\) and \(m\angle 3=m\angle 4=m\angle 6\).
- Identify all pairs of supplementary angles.
- Identify all pairs of complementary angles.
- Identify all vertical angles.
- Use supplementary angles and the transitive property to show that \(m\angle 6=m\angle 8\) and \(m\angle 7=m\angle 9\).
- What can you conclude about the measures of vertical angles?
- Identify all sets of congruent angles.
