Angle Pairs

Unit 1 Day 4: Angle Pairs

Objective: Students will identify and use special pairs of angles

Adjacent Angles

• Two angles that lie in the same plane and have a common vertex and a common side but no common interior points

• Two angles that are next to each other

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

• x = 118

• x = 108

• x = 28

• x = 58

• x = 62

Multiple Choice

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

• $$\angle2$$  

• $$\angle3$$  

• $$\angle4$$  

• $$\angle5$$  

• $$\angle6$$  

Vertical Angles

Multiple Choice

Which angle is a vertical angle to with $$\angle7$$  ?

• $$\angle1$$  

• $$\angle5$$  

• $$\angle3$$  

• $$\angle6$$  

• $$\angle9$$  

Multiple Choice

Find the missing angle.  Find x.

• 20^o
• 70^o
• 160^o
• 180^o

Multiple Choice

Which angles are vertical angles?

• $$\angle8\ \ and\ \angle7$$

• $$\angle8\ and\ \angle6$$

• $$\angle8\ and\ \angle5$$

Complementary Angles

Supplementary Angles

Multiple Choice

What type of angles are these?

• Adjacent Angles

• Linear Pair

• Complementary Angles

• Supplementary Angles

• Vertical Angles

Angle Pairs

This quizizz will help you navigate relationships between pairs of angles.

Multiple Choice

Why do you think

$$\angle ABC$$  and  $$\angle ABD$$ are not adjacent angles? 

• They do not have a common vertex

• They do not have a common side

• They have common interior points

• All of these

Multiple Choice

Why do you think

$$\angle DOC$$  and  $$\angle BOA$$ are not adjacent angles? 

• They do not have a common vertex

• They do not have a common side

• They have common interior points

• All of these

Multiple Choice

Why are ∠AOC and ∠BOD not a linear pair?

• They do not contain opposite rays.

• They are not adjacent.

• They are not angles.

• They are congruent

Multiple Choice

What angle is vertical to ∠AFB?

• ∠CFD

• ∠BFC

• ∠GFA

• ∠EFD

Multiple Choice

What angle is vertical to ∠GFE?

• ∠CFD

• ∠BFC

• ∠GFA

• ∠EFD

Multiple Choice

What angle is vertical to ∠AFC?

• ∠EFD

• ∠BFA

• ∠GFE

• ∠GFD

Help with Vertical Angles

Watch the video for an easy way to correctly identify vertical angles. Either link shoud work.

https://bit.ly/3hmi43c

https://youtu.be/6dOfVISOzlI

Multiple Choice

True or False: Supplementary angles must form a linear pair.

• True

• False

Multiple Choice

What is the measure of ∠EFH? (be careful not x)

• m∠EFH =34

• m∠EFH =96

• m∠EFH =84

• m∠EFH =22

Multiple Choice

What is the m∠ABC ?

• m∠ABC = 36

• m∠ABC = 27

• m∠ABC = 9

• m∠ABC = 18

Angle Pairs

Review of Complementary, Supplementary, and Vertical Angles.

Review or types of Angle Pairs

Poll

I can identify if two angles are complementary, supplementary, or vertical

• Absolutely!

• If I had more practice I could

• I don't really know how to do this

• I don't even know what you're talking about!

Poll

What is the most confusing part of this section?

• Knowing the type of angles

• Setting up the equations

• Solving the equations

• Nothing is difficult

• I haven't been here so...everything

Two angles that add up to 90^o

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Two angles that add up to 180^o

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When you have two two lines that cross, the angles across from each other

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Multiple Choice

What type of angle pair is shown?

• Complementary Angles

• Supplementary Angles

• Vertical Angles

Multiple Choice

What type of angle pair is shown?

• Complementary Angles

• Supplementary Angles

• Vertical Angles

Multiple Choice

Which is the correct equation to solve?

• 5x = 2x + 24

• 5x + 2x + 24 = 180

• 5x + 2x + 24 = 90

Multiple Choice

What is the value of x?

• 22

• 52

• 8

Multiple Choice

What type of angle pair is shown?

• Complementary Angles

• Supplementary Angles

• Vertical Angles

Multiple Choice

Which is the correct equation to solve for x?

• x + 118 = 90

• x = 118

• x + 118 = 180

Multiple Choice

What is the value of x?

• 28

• 62

• 118

Multiple Choice

What type of angle pair is shown?

• Complementary Angles

• Supplementary Angles

• Vertical Angles