Unit 8 Angle Relationships Lesson 2 Applying Angle

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Unit 8 Angle Relationships Lesson 2 Applying Angle Relationships

Unit 8 Angle Relationships Lesson 2 Applying Angle Relationships

Lesson 2: Applying Angle Relationships Objective: SWBAT apply angle relationships. Do Now:

Lesson 2: Applying Angle Relationships Objective: SWBAT apply angle relationships. Do Now:

Lesson 2: Applying Angle Relationships Steps: 1. Identify the angle relationship. 2. Write an

Lesson 2: Applying Angle Relationships Steps: 1. Identify the angle relationship. 2. Write an equation. 3. Solve for x. 4. Find the measure of the angles.

Lesson 2: Applying Angle Relationships Example #1: 8 x + 4 4 x +

Lesson 2: Applying Angle Relationships Example #1: 8 x + 4 4 x + 16 Identify the angle relationship: ________________ Write an equation: _____________________ Solve for x: Find the measure of the angles.

Lesson 2: Applying Angle Relationships Example #1: 8 x + 4 4 x +

Lesson 2: Applying Angle Relationships Example #1: 8 x + 4 4 x + 16 Identify the angle relationship: __corresponding angles (are congruent) Write an equation: _8 x + 4 = 4 x + 16 Solve for x: 8 x + 4 = 4 x + 16 -4 x = -4 x 4 x + 4 = 16 -4 = -4 4 x = 12 4 = 4 x=3 Find the measure of the angles. 8(3)+4 = 28 4(3)+16 = 28 Angles are each 28°

Lesson 2: Applying Angle Relationships Example #2: 4 x+5 8 x+7 Identify the angle

Lesson 2: Applying Angle Relationships Example #2: 4 x+5 8 x+7 Identify the angle relationship: same-side interior (angles are supplementary) Write an equation: 4 x + 5 + 8 x + 7 = 180 Solve for x: 4 x + 5 + 8 x + 7 = 180 12 x + 12 = 180 - 12 = -12 12 x = 168 12 = 12 x = 14 Find the measure of the angles. 4(14) + 5 = 61 8(14) + 7 =119 Angles are 61° and 119°

Lesson 2: Applying Angle Relationships Example #3: 12 x + 15 15 x-15 Identify

Lesson 2: Applying Angle Relationships Example #3: 12 x + 15 15 x-15 Identify the angle relationship: ________________ Write an equation: _____________________ Solve for x: Find the measure of the angles.

Lesson 2: Applying Angle Relationships Example #3: 12 x + 15 15 x-15 Identify

Lesson 2: Applying Angle Relationships Example #3: 12 x + 15 15 x-15 Identify the angle relationship: alternate exterior angles (congruent) Write an equation: 12 x + 15 = 15 x - 15 Solve for x: 12 x + 15 = 15 x - 15 -15 x = -15 x -3 x + 15 = -15 -3 x = -30 x = 10 Find the measure of the angles. 12(10) + 15 = 135 15(10) – 15 = 135 Angles are each 135°

Practice • • • Lines Packet Practice and Skills Angle Relationships Guided, Extra and

Practice • • • Lines Packet Practice and Skills Angle Relationships Guided, Extra and Independent Practice Handout 1

Closure Question: What are the steps when applying angle relationships? Exit Ticket Homework: Homework

Closure Question: What are the steps when applying angle relationships? Exit Ticket Homework: Homework 2

Exit Ticket 3 x+5 9 x+7 Identify the angle relationship: ________________ Write an equation:

Exit Ticket 3 x+5 9 x+7 Identify the angle relationship: ________________ Write an equation: _____________________ Solve for x: Find the measure of the angles.