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6.1(b) Notes: Exterior Angle Theorem

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Presentation on theme: "6.1(b) Notes: Exterior Angle Theorem"— Presentation transcript:

1 6.1(b) Notes: Exterior Angle Theorem
Lesson Objective: Apply Exterior Angle Theorem CCSS: G.CO.10 Prove theorems about triangles You will need: a pencil, colored pens Real-World App: What is the angle that a bracket makes with a wall? This is Jeopardy!!!: This is the m/ A when m/ B = 42° A B C

2 Lesson 1: Exterior Angle Theorem
Draw a line across the page, starting at the left margin.

3 Lesson 1: Exterior Angle Theorem
Label your loose triangle as shown. Trace the triangle onto your page. Label. Tear off angles 1 and 2 of the loose triangle. 2    Exterior Angle Theorem:

4 Lesson 1: Exterior Angle Theorem
Glue your triangle down on to the line. Label the exterior angle / 4 far off the angle as shown.     

5 2 Lesson 1: Exterior Angle Theorem
Place / 1 and / 2 inside exterior / 4 as shown and glue them What do you observe?    Exterior Angle Theorem: 2

6 2 Lesson 1: Exterior Angle Theorem
Example: m/ 4 = m/ 1 + m/ 2 Exterior Remote    Interior Exterior Angle Theorem: The measure of the exterior angle = the sum of the remote interior angles. 2

7 Lesson 2: Using the Exterior Angle Theorem

8 Lesson 2: Using the Exterior Angle Theorem
FITNESS Find the measure of / JKL in the Triangle Pose shown.

9

10 Lesson 3: Finding Angle Measures in Right Triangles
Find m/ 1. Find m/ 2. Find m/ 3. Find m/ 4.

11 6.1(b): Do I Get It? Yes or No 1. Find m/ 1 on the truck 2. Find the value below. Then find m/ 2. of x in the figure below. Then find the measure of each angle.


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