8.6.1-Explore Angle Relationships

Multiple Choice

True or False. These angles are complementary.

• True

• False

Complementary, Supplementary, & Vertical Angles

Fill in the Blank

Find x.

Fill in the Blank

Find m.

Multiple Choice

True or False.

These angles are supplementary.

• True

• False

Finding missing angle.

To determine the supplement, subtract the given angle from 180.

180 - 135 = 45

Missing Angle = 45

Fill in the Blank

Find x.

Fill in the Blank

Find M.

Multiple Choice

True or False. ∠1 and ∠2 are vertical angles.

• True

• False

Fill in the Blank

What is the measure of angle 2 ?

What is the measure of ∠2 ?

Multiple Choice

Which of the following definitions apply to ∠1 and ∠2?

• Complementary Angle

• Supplementary Angle

• Vertical Angle

• None

Multiple Choice

Which of the following definitions apply to ∠1 and ∠2?

• Complementary Angle

• Supplementary Angle

• Vertical Angle

• None

Multiple Choice

Which of the following definitions apply to ∠P and ∠Q?

• Vertical angles

• Complementary angles

• Adjacent angles

• Supplementary angles

Multiple Choice

Which of the following definitions apply to ∠1 and ∠3?

• Vertical angles

• Complementary angles

• Adjacent angles

• Supplementary angles

Multiple Choice

Which of the following definitions apply to ∠1 and ∠2?

• Complementary Angle

• Supplementary Angle

• Vertical Angle

• None

Fill in the Blank

Find m.

Multiple Choice

True or False. These angles are complementary.

• True

• False

Multiple Choice

True or False.

These angles are supplementary.

• True

• False

Linear Pair

• A pair of adjacent angles with noncommon sides that are opposite rays

• Notice that the first 4 letters of linear spell line, so a linear pair forms a line.

Multiple Choice

Find the value of x in the diagram so that the angles form a linear pair

• 118

• 62

• 72

• 68

Multiple Choice

Find the value of x.

• x = 118

• x = 108

• x = 28

• x = 58

• x = 62

Multiple Choice

Which angle is a linear pair with $$\angle1$$  ?

• $$\angle2$$  

• $$\angle3$$  

• $$\angle4$$  

• $$\angle5$$  

• $$\angle6$$  

Multiple Choice

Angle 3 and Angle 6 are examples of which type of angle pair?

• Alternate exterior angles

• Alternate interior angles

• Vertical angles

• Corresponding angles

Multiple Choice

Name the alternate exterior angle to angle 7.

• 8

• 2

• 1

• 3

Multiple Choice

4) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate exterior angles?

• $$\angle4$$  and $$\angle8$$  
  

• $$\angle7$$  and $$\angle5$$  
  

• $$\angle1$$  and  $$\angle2$$  
  

• $$\angle6$$  and  $$\angle5$$  
  

Multiple Choice

3) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate interior angles?

• $$\angle3$$  and $$\angle8$$  
  

• $$\angle7$$  and $$\angle2$$  

• $$\angle7$$  and $$\angle8$$  

• $$\angle4$$  and $$\angle8$$  

Multiple Choice

Use to figure to determine the relationship between

$$\angle4\ and\ \angle8$$  

• Alternate Interior Angles

• Vertical Angles

• Same-Side Interior Anlges
  

• Supplementary Angles

• Corresponding Angles