1. Pairs of Angles. Press Ctrl-A ©2009 G Dear – Not to be sold/Free to use Stage 4 Years 7 & 8 Web

2. Pairs of angles – Adjacent (1/2) A O B C Adjacent Angles have: A common vertex. Vertex A common ray. Common ray Lie on opposite sides of the common ray. End of Slide

3. Adjacent Angles ???? (2/2)   No Common Vertex. No Common Ray. End of Slide

4. Complementary Angles (1/6) Complementary Angles Add to 90 o 40 o + 50 o 50 o 40 o = 90 o End of Slide

5. Complementary Angles (2/6) Complementary Angles Add to 90 o 60 o + 30 o 30 o 60 o = 90 o End of Slide

6. Complementary Angles (3/6) Complementary Angles Add to 90 o 20 o + 70 o 70 o 20 o = 90 o End of Slide

7. Complementary Angles (4/6) Complementary Angles Add to 90 o 45 o + 45 o 45 o = 90 o End of Slide

8. Complementary Angles (5/6) Example 1: Find the value of the pronumeral. a o + 35 o = 90 o aoao 35 o -35 a o = 55 o Reason: Complementary End of Slide

9. Complementary Angles (6/6) a o + 75 o = 90 o aoao 75 o -75 a o = 15 o Example 2: Find the value of the pronumeral. Reason: Complementary End of Slide

10. Supplementary Angles (1/5) Supplementary Angles Add to 180 o 30 o + 150 o 150 o 30 o = 180 o End of Slide

11. Supplementary Angles (2/5) Supplementary Angles Add to 180 o 70 o + 110 o 110 o 70 o = 180 o End of Slide

12. Supplementary Angles (3/5) Supplementary Angles Add to 180 o 80 o + 100 o 80 o 100 o = 180 o End of Slide

13. Supplementary Angles (4/5) a o + 120 o = 180 o aoao 120 o Example 1: Find the value of the pronumeral. -120 a o = 60 o Reason: Supplementary End of Slide

14. Supplementary Angles (5/5) a o + 70 o = 180 o aoao 70 o Example 2: Find the value of the pronumeral. -70 a o = 110 o Reason: Supplementary End of Slide Web

15. Pairs of angles – Vertically Opposite Vertically Opposite Angles are equal. 80 o = 80 o 80 o 100 o 100 o = 100 o End of Slide

16. Vertically Opposite (1/3) Vertically Opposite Angles are equal. 130 o = 130 o 130 o 50 o 50 o = 50 o End of Slide

17. Vertically Opposite (2/3) Vertically Opposite Angles are equal. 20 o = 20 o 20 o 160 o 160 o = 160 o End of Slide

18. Vertically Opposite (3/3) p o = 30 o popo 30 o qoqo 150 o q o = 150 o Example 1: Find the value of the pronumeral. Reason: Vertically Opposite End of Show