Find Missing Angles

Transversals, Angles and Parallel Lines

School Year 20-2025

CORRESPONDING ANGLES

Angles in the same position on the top and on the bottom.

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The two angles in the picture are both in the UPPER RIGHT.

Types of Angle Pairs

Vertical Angles

Alternate Interior Angles

Alternate Exterior Angles

Corresponding Angles

Same-Side Interior Angles

Corresponding Angles are EQUAL

ALTERNATE INTERIOR ANGLES

​Angles inside the two parallel lines and are on opposite sides of the transversal.

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In the picture, the two blue angles are Alternate Interior Angles.

Alternate Interior Angles are EQUAL

SAME SIDE INTERIOR ANGLES

​Angles inside the two parallel lines and are on the same side of the transversal. (other names: Consecutive Interior Angles (IXL)

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In the picture, the two green angles are Same Side Interior Angles.

​Same Side Interior Angles are SUPPLEMENTARY (180°)

Multiple Choice

If the  $$m\angle5\ =\ 63\degree,$$  find the measure of  $$\angle3.$$  

• $$63\degree$$  

• $$117\degree$$  

• $$180\degree$$  

• Cannot be determined

Finding x.

Algebra time!

Multiple Choice

Given the following two parallel lines that have been cut by a transversal.

Which two angles would be Alternate Exterior?

• 
  

  $$\angle8$$ and $$\angle2$$
  

• $$\angle6$$ and $$\angle3$$

• $$\angle5$$ and $$\angle4$$

• $$\angle5$$ and $$\angle1$$

Multiple Choice

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

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

Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

• $$\angle1$$  and  $$\angle6$$  

• $$\angle6$$  and $$\angle5$$  

• $$\angle7$$  and $$\angle8$$  

• $$\angle4$$  and $$\angle8$$  

Multiple Choice

Given the two parallel lines cut by a transversal.

What is the vertical angle to  $$\angle4$$  ?

• $$\angle2$$  

• $$\angle6$$  
  

• $$\angle8$$  
  

• $$\angle7$$  
  

Multiple Choice

Supplementary angles add up to...

• 45 degrees

• 90 degrees

• 180 degrees

• 360 degrees

Multiple Choice

Complementary angles add up to...

• 45 degrees

• 90 degrees

• 180 degrees

• 360 degrees

Multiple Choice

$$Find\ m\angle6.$$  

• 45

• 60

• 90

• 120

Multiple Choice

Given $$m\angle1$$  is 105°, what is the  $$m\angle4?$$  

• $$85\degree$$  

• $$105\degree$$  

• $$115\degree$$  

• $$180\degree$$  

Fill in the Blanks

$Find\ the\ m\angle1.$  

Fill in the Blanks

Find the value of x.

Fill in the Blanks

Find the value of x.

Fill in the Blanks

$Find\ the\ m\angle1.$  

Multiple Select

Select all the pairs that are alternate exterior angles.

• ∠5 and ∠4

• ∠1 and ∠7

• ∠2 and ∠8

• ∠8 and ∠1

• ∠4 and ∠6

Multiple Select

Select all the pairs that are alternate interior angles.

• ∠5 and ∠4

• ∠6 and ∠5

• ∠2 and ∠8

• ∠8 and ∠1

• ∠3 and ∠5

Fill in the Blanks

What is the $m\angle3?$  

Open Ended

For the given figure, can you conclude that $$r\parallel s$$  ?  Explain.

Multiple Choice

Solve for y.

• y = 20
• y = 120
• y = 60
• y = 10

Multiple Choice

WHAT IS THE CORRECT EQUATION TO USE TO SOLVE FOR X?

• 33 = 7X +5
• -7X=33
• 33+7X+5=180
• 33+7X+5=90