Table of Contents Date: 10/18 Topic: Angles of Triangles

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Presentation transcript:

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

Chapter 4 Section 2 Angles of Triangles

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

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.

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

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

Brain Break

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 _______________________________________

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

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.

Summary!

Summary!

Summary!