1. Table of Contents Date: 10/18 Topic: Angles of Triangles
Description: Using the information given and properties of angles, find the missing angle
Page: 11

2. Chapter 4 Section 2
Angles of Triangles

3. Triangle Angle Sum Theorem:
Question, Topics and Vocabulary
Problems, Definitions and Work
Triangle Angle Sum Theorem:

4. Example 1:
SOFTBALL The diagram shows the path of the softball in a drill developed by four players. Find the measure of each numbered angle.

5. Remote Interior Angles
Exterior Angle
An angle formed by __________________ of the triangle and the
extension of an ____________________.
Each exterior angles of a triangle has ______ remote interior angles
that are ____________________ to the exterior angle.
Remote Interior Angles
Exterior Angle Theorem

6. Example 2:
GARDENING Find the measure of angle FLW in the fenced flower garden shown.

7. Brain Break

8. Triangle Angle- Sum Corollaries
Corollary
A theorem with a proof that follows as a direct result of another theorem.
Triangle Angle- Sum Corollaries
4.1
 The _____________ angles of a ______________________________ are
_____________________________.
4.2
There can be at most _______________________________________

9. Example 3: Find the measure of each Numbered angle. a. ∠1 = b. ∠2 =
c. ∠3 =
d. ∠4 =
e. ∠5=

10. Example 4:
Find m3 if m5 = 130 and m4 = 70. Find m1 if m5 = 142 and m4 = 65. Find m2 if m3 = 125 and m4 = 23.

11. Summary!

12. Summary!

13. Summary!