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Angle Relationships

Learn about adjacent angles, vertical angles, linear pairs, perpendicular lines, supplementary angles, and complementary angles in this comprehensive guide on angle relationships and properties in geometry.

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Angle Relationships

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  1. Angle Relationships Section 1-5

  2. Adjacent angles • Angles in the same plane that have a common vertex and a common side, but no common interior points. 1 2

  3. Vertical angles • two nonadjacent angles formed by two intersecting lines • Vertical angles are congruent. 4 3

  4. Linear pair • adjacent angles whose noncommon sides are opposite rays • The sum of the measures of the angles in a linear pair is 180. 5 6

  5. Perpendicular lines • special intersecting lines that form right angles • Perpendicular lines intersect to form 4 right angles.

  6. Supplementary angles – 2 angles whose measures have a sum of 180 • Complementary angles – 2 angles whose measures have a sum of 90

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