1. 1.5 –Describe Angle Pair Relationships

2. Adjacent angles: Two angles that share a common side and vertex 1 2  1 is adjacent to  2

3. Complementary Angles:Two angles that add to 90° m  1 + m  2 = 90° 1 21 2

4. Supplementary Angles:Two angles that add to 180° m  1 + m  2 = 180° 1 2 1 2

5. Linear Pair: Two adjacent angles whose noncommon sides are opposite rays 1 2 They will always add to 180° m  1 + m  2 = 180°

6. Vertical Angles: Two angles whose sides form two pairs of opposite rays 1 2 They will always be congruent!

7. 1. Tell whether the indicated angles are adjacent.  EFG and  HGF no

8. 1. Tell whether the indicated angles are adjacent.  JNM and  MNK yes

9. 2. Name a pair of complementary angles, supplementary angles, and vertical angles. L M N P Q R O Complementary:  QOR and  ROL Supplementary:  ROL and  LON  ROM and  MON Vertical:  MON and  NOP  QOL and  LOM  ROL and  NOP  LOM and  QOP

10. 2. Name a pair of complementary angles, supplementary angles, and vertical angles. A B C D E G Complementary:  DGE and  EGA Supplementary:  DGE and  EGB  DGA and  AGB Vertical:  EGA and  AGC  DGE and  BGC  EGB and  DGC

11. 3.  1 and  2 are complementary angles. Given the measure of  1, find m  2. m  1 = 82° m  2 = 8° 90 – 82 =

12. 3.  1 and  2 are complementary angles. Given the measure of  1, find m  2. m  2 = 67° 90 – 23 = m  1 = 23°

13. 4.  1 and  2 are supplementary angles. Given the measure of  1, find m  2. m  2 = 98° 180 – 82 = m  1 = 82°

14. m  2 = 75° 180 – 105 = m  1 = 105° 4.  1 and  2 are supplementary angles. Given the measure of  1, find m  2.

15. 5. Find the measure of  ABD and  DBC. 4x + 6 + 11x – 6 = 180 15x = 180 x = 12 m  ABD = 4(12)+6 = 48+6 = 54° m  DBC = 11(12)-6 = 132-6 = 126°

16. 5. Find the measure of  ABD and  DBC. 2x + 3x = 90 5x = 90 x = 18 m  ABD = 2(18) = 36° m  DBC = 3(18) = 54°

17. 6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither.  1 and  2 Linear pair

18. 6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither.  1 and  3 Vertical angles

19. 6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither.  2 and  4 Vertical angles

20. 6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither.  5 and  7 neither

21. 6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither.  5 and  8 neither

22. 7. Find the values of x and y. 6x – 11 + 2x – 9 = 180 8x – 20 = 180 8x = 200 x = 25° 20y + 19 + 2x – 9 = 180 20y + 19 + 2(25) – 9 = 180 20y + 60 = 180 20y = 120 y = 6°

23. 7. Find the values of x and y. 21x – 3 + 5x + 1 = 180 26x – 2 = 180 26x = 182 x = 7° 4y + 17y – 9 = 180 21y – 9 = 180 21y = 189 y = 9°

24. # 50 Ans: ex:  AGB &  EGD Vertical angles HW Problem SectionPage #AssignmentSpiral ?s 1.538-414, 5, 7, 11, 15-19 odd, 29-33 odd, 50, 61 14-15