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6.5 Angles Formed When Parallel Lines are Cut by a Transversal (Due 3/21/2025)

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Last updated 10 months ago
40 questions
Note from the author:
The students will learn to identify angles formed when parallel lines area cut by a transversal. Then they will use angle relationships to construct equations and solve them, so they can find all the missing angles and values. They will need to know the 5 angle theorems. They will also need to know how to use vertical and supplemental angles.
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35
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60
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15
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.

Angles formed by Parallel Lines cut by a Transversal

Question 1
1.

Which is an example of alternate interior angles

Question 2
2.

Which is an example of same-side interior angles

Question 3
3.

Which is an example of alternate exterior angles

Question 4
4.

Which is an example of same-side exterior angles

Question 5
5.

Which is an example of corresponding angles

Using Parallel Lines To Find The Measures Of Indicated Angles

Question 6
6.
Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?
_______

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______
Question 7
7.
Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?
_______

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______
Question 8
8.
Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?
_______

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______
Question 9
9.
Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?
_______

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______
Question 10
10.
Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?
_______

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______
Question 11
11.
Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?
_______

What is the reason? (Use Notes Page 10 and Notes Page 11 to help you).
_______
Question 12
12.
Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?
_______

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______
Question 13
13.
Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?
_______

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______
Question 14
14.
Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?
_______

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______
Question 15
15.
If m∠1 = 57°, find each measure.

m∠2=_______
m∠3=_______
m∠4=_______
m∠5=_______
m∠6=_______
m∠7=_______
m∠8=_______
Question 16
16.
If m∠6 =142°, find each measure.

m∠1=_______
m∠2=_______
m∠3=_______
m∠4=_______
m∠5=_______
m∠7=_______
m∠8=_______
Question 17
17.
If m∠12 = 121° and m∠6 = 59°, find each measure. Don't be an NPC, use the degree symbol.

m∠1=_______
m∠2= _______
m∠3=_______
m∠4=_______
m∠5=_______
m∠7=_______
m∠8=_______
m∠9= _______
m∠10=_______
m∠11=_______
m∠13=_______
m∠14=_______
Question 18
18.

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

Question 19
19.

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

Question 20
20.

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

Question 21
21.
Tell why each of the angles indicated are congruent to the angle measure shown.

∠4 = 45° because __________
Question 22
22.
Tell why each of the angles indicated are congruent to the angle measure shown.

∠7 = 45° because __________
Question 23
23.
Tell why each of the angles indicated are congruent to the angle measure shown.


∠1 = 130° because __________
Question 24
24.
Tell why each of the angles indicated are congruent to the angle measure shown.


∠4=130° because __________
Question 25
25.
Tell why each of the angles indicated are congruent to the angle measure shown.


∠7=130° because __________
Question 26
26.
Tell why each of the angles indicated are supplementary to the angle measure shown.


∠3=50° because __________
Question 27
27.
Tell why each of the angles indicated are supplementary to the angle measure shown.


∠6=50° because __________
Question 28
28.
Find the indicated angle measures.  Then justify each answer.
m∠1 = 115° because __________
Question 29
29.
Find the indicated angle measures.  Then justify each answer.

m∠1 = 96° because __________
Question 30
30.

Find the indicated angle measures.

m∠1 = ______°

Question 31
31.

Find the indicated angle measures.
Find the indicated angle measures.

m∠1 = ______°

Using Algebra to Find the Measures of Angles Formed from Parallel Lines Cut by a Transversal

Question 32
32.

If l ∥ m, then solve for x.

Question 33
33.

If l ∥ m, then solve for x.

Question 34
34.

If l ∥ m, then solve for x.

Question 35
35.

If l ∥ m, then solve for x.

Question 36
36.

If l ∥ m, then solve for x.

Question 37
37.
Find the value of x.

x=_______

Then, find the measure of each labeled angle.

(3x + 4)° = _______ °

(5x – 8)° = _______ °
Question 38
38.
Find the value of x.

x=_______

Then, find the measure of each labeled angle.

(7x+10)° = _______ °

(15x +16 )° = _______ °
Question 39
39.
Find the value of x.

x=_______

Then, find the measure of each labeled angle.

(6x+20)° = _______ °

(8x)° = _______ °
Question 40
40.
Find the value of x.

x=_______

Then, find the measure of each labeled angle.

(4x-13)° = _______ °

(3x+7)° = _______ °