1. Angle Relationships Lesson 54Power Up KPage 367

2. Angle Relationships Adjacent angles: share a common vertex and side, but don’t over lap. Vertical (opposite) angles: formed by 2 intersecting lines, share the same vertex 1 2 3 4

3. Angle Relationships Complementary angles: 2 angles totaling 90° Supplementary angles: 2 angles totaling 180° a b c d e

4. Angle Relationships Transversal: Parallel lines cut by a 3rd line Corresponding angles: same side of transversal, same side of lines Alternate interior angles: opposite side of the transversal, between lines. Alternate exterior angles: opposite sides of transversal, outside of lines. 12 34 7 8 5 6

5. Angle Relationships Parallel lines cut by a non-perpendicular transversal All obtuse angles are congruent All acute angles are congruent Any acute angle is supplementary to any obtuse angle 12 34 7 8 5 6

6. Practice Problems