How do you find the angle measurements in the

diagram below?

42nd Street

41st Street

Broadway

(3x + 5)o

(10x – 7)o 47o

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 ReviewLet’s Review

Adjacent angles

1 2

Let’s ReviewLet’s Review

41

23

Vertical angles

Let’s ReviewLet’s ReviewSupplementary angles

1 2

1200 600

Let’s ReviewA Common Mistake

x y

z

Let’s ReviewCore Lesson

42nd Street

41st Street

Broadway

1 2

34

Let’s ReviewCore Lesson

42nd Street

41st Street

Broadway

(3x + 5)o

(10x – 7)o 47o

Let’s ReviewCore Lesson3x + 5 = 47

3x = 42x = 14

10x – 7 = 10(14) – 7 =

140 – 7133

42nd Street

41st Street

Broadway

(3x + 5)o

(10x – 7)o 47o

Let’s ReviewCore Lesson

42nd Street

41st Street

Broadway

47o

133o 47o

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 ReviewGuided 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 ReviewExtension Activities

Find the measurements of angles a, b and c. 1150

a b

c

Let’s ReviewExtension ActivitiesFind the value of x in the diagram below.

1250

(x + 15)0

Let’s ReviewExtension Activities

Find the measurements of angles m and n.

1480

nm 400

Let’s ReviewQuick QuizWhat are the measurements of angle 1 and 2?

1 2

820

Let’s ReviewQuick QuizWhat are the measurements of angle x and y?

y670x