Lines Cut by a Transversal Answers

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Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent.

Answer:

Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent.

2
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B

A
alternate exterior angles theorem
B
corresponding angles theorem
C
vertical angles
3

C

A
symmetric property
B
transitive property
C
definition of supplementary angles
109934

Complete the two-column proof.

Answers:
A:vertical angles
B:corresponding angles theorem
C:transitive property
109945

m∠3 is (3x + 4)° and m∠5 is (2x + 11)°.

Answers:
Angles 3 and 5 are .:same side interior angles
The equation can be used to solve for x.:(3x + 4) + (2x + 11) = 180
m∠5 = °:77
109946

✔ (3x + 4) + (2x + 11) = 180(3x + 4) = (2x + 11)(3x + 4) – (2x + 11) = 180

A
✔ (3x + 4) + (2x + 11) = 180
B
(3x + 4) = (2x + 11)
C
(3x + 4) – (2x + 11) = 180
109951

What did you include in your response? Check all that apply.

A
vertical angles theorem
B
corresponding angles theorem
C
transitive property
D
supplementary angles
E
linear pairs
109953

m∠3 is (3x + 4)° and m∠5 is (2x + 11)°.

Answers:
Angles 3 and 5 are .:same side interior angles
The equation can be used to solve for x.:(3x + 4) + (2x + 11) = 180
m∠5 = °:77

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