This document summarizes key concepts about angles and parallel lines from Chapter 7 including: - Identifying different types of angles such as acute, obtuse, right, reflex - Properties of angles including complementary, supplementary, adjacent, vertical - Properties of angles formed by parallel lines and transversals including corresponding angles, alternate angles, interior angles - Examples are provided to illustrate different types of angles and their properties - Homework assignments are listed asking students to practice finding unknown angles using properties of angles and parallel lines.

1. Chapter 7 Angles & Parallel Lines

2. By the end of the lesson, you should be able to :

3. Identify different types of angle Explore the properties of angles Complementary Supplementary Adjacent angles on a straight line Angles at a point Vertically opposite angles Interior and Exterior Angles

4. Explore the properties of angles formed by parallel lines and transversals Interior angles Corresponding angles Alternate angles Use the properties of angles to find unknown angles in a diagram.

5. Types of Angles Reflex angle (angle >180°) Acute Angles (angle < 90°) Right Angle (angle = 90°) Obtuse angle (90°< angle <180°)

6. Types of Angles 20° 70° 60° 30° Complementary Angles ( sum of angles = 90°) Supplementary Angles (sum of angles = 180°) 120° 60° 70° 110°

7. Types of Angles Common vertex Common Side Adjacent angles Non - adjacent angles

8. Properties of Angles The sum of adjacent angles on a straight line is 180° . (Adj. s on a str. Line) a b c d a + b + c + d = 180°

9. The sum of all angles at a point is 360° ( s at a pt) a + b + c + d = 360°

10. Vertically Opposite Angles a b c d a = b = c d AB and FE are straight lines A B E F

11. Interior and Exterior Angles These are interior angles formed by adjacent sides

12. Interior and Exterior Angles These are exterior angles formed by the extension of an adjacent side

13. homework To be done on foolscap. Please draw the diagrams. Exercise 7.2 (Page 15) Questions : 5, 7, 8c,d, 9c,d,e,f, 11 all, 19-21

14. Non-Parallel Line

15. Parallel Lines Transversal

16. Properties of Angles formed by parallel lines and transversals

17. 2) Corresponding Angles ONLY when AB // CD a b c d e f g h A B C D E F a = e b = f d = h c = g

18. 3) Alternate Angles c d e f ONLY when AB // CD A B C D E F d = f c = e

19. 4) Interior Angles ONLY when AB // CD c d e f A B C D E F e + d = 180 0 c + f = 180 0

20. homework To be done on foolscap. Please draw the diagrams Exercise 7.3 (Page 25) Questions : 1c,d,e,f, 2c,d,e,f 3c,d, 4 all, 6