1. Date: 7.3(b) Notes: Exterior Angle Inequality Lesson Objective: Recognize and apply properties of inequalities to the measures of the angles of a triangle. CCSS: G.CO.10

2. Lesson 1: Exterior Angle Theorem – Review

3. Lesson 1: Exterior Angle Theorem – Review Example: m/ 4 = m/ 1 + m/ 2 Exterior Remote 2 4 Interior 2 1 3 1 Exterior Angle Theorem: The measure of the exterior angle = the sum of the remote interior angles.

4. Lesson 1: Exterior Angle Inequality Theorem Example:m/ 4 > m/ 1 m/ 4 > m/ 2 Exterior Remote 2 4 Interior 2 1 3 1 The measure of an exterior angle of a triangle is greater than the measure of either of its corresponding remote interior angles.

5. Lesson 2: Using the Exterior Angle Inequality Theorem Use the Exterior Angle Inequality Theorem to list all of the angles that satisfy the stated condition. a.Measures less than m/ 4 b.Measures greater than m/ 7 c.Measures greater than m/ 2 d. Measures less than m/ 9

6. Lesson 3: Using the Exterior Angle Inequality Theorem Use the Exterior Angle Inequality Theorem to list all of the angles that satisfy the stated condition. a.Measures less than m/ 1 b.Measures greater than m/ 8 c.Measures less than m/ 2

7. 7.3(b): Do I Get It? Yes or No Use the Exterior Angle Inequality Theorem to list all of the angles that satisfy the stated condition. a.Measures less than m/ 7 b.Measures greater than m/ 6 c.Measures less than m/ 5 d.Measures greater than m/ 1