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6.5 Angles Formed When Parallel Lines are Cut by a Transversal (Due 4/3/24)

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Last updated 12 days ago
43 questions
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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.

Day 1 2/24/26

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 3 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 3 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 3 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 3 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 3 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 3 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 3 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 3 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 3 to help you).
_______
Question 15
15.
If m∠1 = 65°, 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 = 75°, 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.

If l ∥ m, then solve for x.

Question 19
19.

If l ∥ m, then solve for x.

Question 20
20.

If l ∥ m, then solve for x.

Question 21
21.

If l ∥ m, then solve for x.

Question 22
22.

If l ∥ m, then solve for x.

Day 2 2/25/26

Question 23
23.

Question 24
24.

Question 25
25.

Question 26
26.
Tell why each of the angles indicated are congruent to the angle measure shown.


∠4 = 45° because __________
∠1=135° because__________
Question 27
27.
Tell why each of the angles indicated are congruent to the angle measure shown.


∠7 = 45° because __________
Question 28
28.
Tell why each of the angles indicated are congruent to the angle measure shown.



∠1 = 130° because __________
Question 29
29.
Tell why each of the angles indicated are congruent to the angle measure shown.



∠4=130° because __________
Question 30
30.
Tell why each of the angles indicated are congruent to the angle measure shown.



∠7=130° because __________
Question 31
31.
Tell why each of the angles indicated are supplementary to the angle measure shown.



∠3=50° because __________
Question 32
32.
Tell why each of the angles indicated are supplementary to the angle measure shown.



∠6=50° because __________
Question 33
33.

Find the indicated angle measures.

m∠1 = ______°

Question 34
34.
Find the indicated angle measures.  Then justify each answer.

m∠1 = 115° because __________
Question 35
35.

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

m∠1 = ______°

Question 36
36.
Find the indicated angle measures.  Then justify each answer.

m∠1 = 96° because __________
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)° = _______ °

Learning Log

Required
5
Question 41
41.

Required
10
Question 42
42.

Required
10
Question 43
43.

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


∠1
∠6
∠5
∠4
∠2
∠7
∠3
Tell which angles are congruent to the given angle measure.  Select all that apply.
∠1
∠3
∠6
∠5
∠4
∠2
∠7
Tell which angles are congruent to the given angle measure.  Select all that apply.
∠4
∠2
∠1
∠7
∠3
∠5
∠6