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 :

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

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

14. Non-Parallel Line

15. Parallel Lines Transversal

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