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

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.

Let’s Review Adjacent angles 1 2

Vertical angles

Supplementary angles

Let’s Review A Common Mistake xy z

Let’s Review Core Lesson 42 nd Street 41 st Street Broadway

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

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

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

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.

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.

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

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

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

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

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