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How do you find the angle measurements in the diagram below? 42 nd Street 41 st Street Broadway (3x + 5) o (10x – 7) o 47 o.

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Presentation on theme: "How do you find the angle measurements in the diagram below? 42 nd Street 41 st Street Broadway (3x + 5) o (10x – 7) o 47 o."— Presentation transcript:

1 How do you find the angle measurements in the diagram below? 42 nd Street 41 st Street Broadway (3x + 5) o (10x – 7) o 47 o

2 In this lesson you will learn how to find the measurements of angles when parallel lines are cut by a transversal by using vertical and adjacent angles.

3 Let’s Review Adjacent angles 1 2

4 4 1 2 3 Vertical angles

5 Supplementary angles 1 2 120 0 60 0

6 Let’s Review A Common Mistake xy z

7 Let’s Review Core Lesson 42 nd Street 41 st Street Broadway 1 2 34

8 Let’s Review Core Lesson 42 nd Street 41 st Street Broadway (3x + 5) o (10x – 7) o 47 o

9 Let’s Review Core Lesson 3x + 5 = 47 3x = 42 x = 14 10x – 7 = 10(14) – 7 = 140 – 7 133 42 nd Street 41 st Street Broadway (3x + 5) o (10x – 7) o 47 o

10 Let’s Review Core Lesson 42 nd Street 41 st Street Broadway 47 o 133 o 47 o

11 In this lesson you have learned how to find the measure of angles that are created when parallel lines are cut by a transversal by using vertical and adjacent angles.

12 Let’s Review Guided Practice 1 (7x - 15) 0 (3x + 25) 0 You are building a bench for a picnic table. The top of the bench will be parallel to the ground. Find the measure of angle 1.

13 Let’s Review Extension Activities Find the measurements of angles a, b and c. 115 0 a b c

14 Let’s Review Extension Activities Find the value of x in the diagram below. 125 0 (x + 15) 0

15 Let’s Review Extension Activities Find the measurements of angles m and n. 148 0 n m40 0

16 Let’s Review Quick Quiz What are the measurements of angle 1 and 2? 12 82 0

17 Let’s Review Quick Quiz What are the measurements of angle x and y? y 67 0 x


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