Parallel Lines Cut by a Transversal Answers

9 verified answers
1
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What is the m1?

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A
25°
B
35°
C
145°
D
155°
2
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Check all that you included in your response.

A
2 and the angle marked 17º are supplementary angles.
Option A
B
m2 + 17º = 180º
Option B
C
m2 = 163º
Option C
D
1 and 2 are alternate interior angles of parallel lines.
Option D
E
m 1 = m 2
Option E
F
m1 = 163º
Option F
3

Carmen is planning rail lines for a new train station. Help her find m1. Explain how you found that solution.

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Answer:

Angle 2 and the angle measuring 17° are supplementary because they form a linear pair, so m∠2 = 180° – 17° = 163°. Angle 1 and angle 2 are alternate interior angles, which are congruent when lines are parallel. Therefore, m∠1 = 163°.

4

Which statement allows Carmen to conclude that line p and line q are parallel?

A
∠2 ≅ ∠6
B
∠1≅ ∠4
C
m∠1 + m∠2 = 180°
D
m∠5 + m∠7 = 180°
5

Which streets are parallel? Check all that apply.

A
c || d
B
c || e
C
c || f
D
d || e
E
d || f
F
e || f
6

m <1= ✔ 485973132°

A
✔ 48
B
59
C
73
D
132
7

What is the value of x?

A
x = 5
B
x = 9
C
x = 13
D
x = 16
9

Why?It is adjacent to the 48-degree angle.It is an alternate exterior angle to the 48-degree angle.✔ It corresponds to the 48-degree angle.It is supplementary to the 48-degree angle.

A
It is adjacent to the 48-degree angle.
B
It is an alternate exterior angle to the 48-degree angle.
C
✔ It corresponds to the 48-degree angle.
D
It is supplementary to the 48-degree angle.

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