1. What’s Your Angle? An Introduction to Angle Pair Relationships

2. Background Vocabulary Parallel lines: Lines that never ______________. The symbol for parallel lines is _____. Transversals: Lines that ____________ two or more parallel lines. Congruent angles: Two angles that have __________ measures.

3. Angle Review Acute : Angles that measure less than ______.

4. Right: Angles that measure exactly _____. Angle Review

5. Obtuse: Angles that measure more than ______ and less than ______. Angle Review

6. Straight: Angles that measure exactly ______. Angle Review

7. Adjacent Angles Two angles that are ______ by _______. They share a common side. 55° 22°

8. Complementary Angle Two angles whose measures _____ up to _____. 45°

9. Supplementary Angles Two angles whose measures ____ up to ______. These angles do NOT have to be __________. Supplementary Angles 120° 60°

10. Linear Pair Two angles whose measures _____ up to ______. These angles must be _________. 130° 50°

11. 2.1. 3.4. 5.6. 7.8. The Transversal

12. 2.1. 3.4. 5.6. 7. 8. Alternate Interior Angles Two angles that are _________ the parallel lines, but are on _________ sides of the transversal. An example is: Angle 3 and Angle 6. These angles are ____________, which means they have the same measure.

13. 2.1. 3.4. 5.6.6. 7. 8. Alternate Exterior Angles Two angles that are _________ the parallel lines, but are on _________ sides of the transversal. An example is: Angle 1 and Angle 8. These angles are ____________, which means they have the same measure.

14. 2.1. 3.4. 5.6. 7.8. Vertical Angles Two angles that are ___________ one another when two lines cross. An example is: Angle 1 and Angle 4. These angles are ___________ angles, which means they have the same measure..

15. 2.1. 3.4. 5.6. 7.8. Corresponding Angles These angles are in the ________ position, but one different parallel lines. An example is: Angle 1 and Angle 5. These angles are ____________ angles, which means they are the same measure.

16. Practice Time!

17. 1) Find the missing angle. 36° ?°?°

18. 2) Find the missing angle. 64° ?°?°

19. 3) Solve for x. 3x° 2x°

20. 4) Solve for x. 2x + 5 x + 25

21. 5) Find the missing angle. ?°?° 168°

22. 6) Find the missing angle. 58° ?°?°

23. 7) Solve for x. 4x 5x

24. 8) Solve for x. 2x + 10 3x + 20

25. In the figure a || b. 9. Name the angles congruent to  3. 10. Name all the angles supplementary to  6. 11. If m  1 = 105° what is m  3? 12. If m  5 = 120° what is m  2?

26. 13) Lines l and m are parallel. l || m Find the missing angles. 42° l m b°b° d°d° f°f° a ° c°c° e°e° g°g°

27. 14) Lines l and m are parallel. l || m Find the missing angles. 81° l m b°b° d°d° f°f° a ° c°c° e°e° g°g°

28. 15) Find the missing angles. 70 ° b° 70 ° d °65 °

29. 16) Find the missing angles. 45 ° b° 50 ° d °75 °