6.5.1 Angles Formed When Parallel Lines are Cut by a Transversal (Due 1/28/25)

Essential Question: How do I identify angle relationships when lines are cut by a transversal?

Learning Target: Students will be able to identify angle relationships when lines are cut by a transversal.

Complete the entire assignment and show work for full credit.

Using Parallel Lines To Find The Measures Of Indicated Angles

Required

12

Required

12

Required

20

Given the diagram, m∠2=105°

What is m∠12?
_______ °

What is the reason? (Use Notes Page 3 to help you).
 _______ 

Required

70

If m∠1 = 72° and the  m∠13 =37°, find each measure. Don't be an NPC use the degree symbol.

m∠2=_______                      m∠9=_______ 
m∠3=_______                      m∠10=_______ 
m∠4=_______                      m∠11=_______ 
m∠5=_______                      m∠12=_______ 
m∠6=_______                      m∠14=_______ 
m∠7=_______                      m∠15=_______ 
m∠8=_______                      m∠16=_______ 

Required

35

If m∠2 = 41°, m∠5 = 94°, and m∠10 = 109°, find each measure. Don't be an NPC use the degree symbol.


m∠1=_______ 
m∠3=_______ 
m∠4=_______ 
m∠6=_______ 
m∠7=_______ 
m∠8=_______ 
m∠9=_______ 

Required

10

Find the indicated angle measures.  Then justify each answer.
∠6 = __________because __________

Required

10

Find the indicated angle measures.  Then justify each answer.
∠2 = __________ because __________

Required

10

Find the indicated angle measures.  Then justify each answer.

∠4 = __________ because __________

Required

10

Find the indicated angle measures.  Then justify each answer.

∠6=__________ because __________

Required

10

Find the indicated angle measures.  Then justify each answer.

∠1=__________ because __________

Required

10

Find the indicated angle measures.  Then justify each answer.

∠7=__________because __________

Required

10

Find the indicated angle measures.  Then justify each answer.

∠6=__________because __________

Required

10

Find the indicated angle measures.  Then justify each answer.

m∠1 = __________ because __________

Required

20

If l ∥ m, then solve for x.

Required

20

6.5.1 Angles Formed When Parallel Lines are Cut by a Transversal (Due 1/28/25)

Using Parallel Lines To Find The Measures Of Indicated Angles

If l ∥ m, then solve for x.

Use your answer from question 14 to answer this question. If l ∥ m, then solve for y.

Using Parallel Lines To Find The Measures Of Indicated Angles

Tell which angles are congruent to the given angle measure. Select all that apply.

Tell which angles are congruent to the given angle measure. Select all that apply.

If l ∥ m, then solve for x.

Use your answer from question 14 to answer this question. If l ∥ m, then solve for y.