# Use properties of parallel lines cut by a transversal to find unknown angle measures

Lines that are cut by a transversal may or may not be parallel
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Questions #: 11
Time: 5 minutes
Pass Score: 80.0%
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#### Corresponding angles property

If two parallel lines are cut by a transversal, each pair of corresponding angles are congruent

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#### In the figure below

If $l_1 \parallel l_2$, then

• ∠ 1 ≅ (1)
• ∠ 3 ≅ (2)
• ∠ 2 ≅ (3)
• ∠ 4 ≅ (4)
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∠ 8
∠ 5
∠ 6
∠ 7
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#### Alternate interior angles property

If two parallel lines are cut by a transversal, alternate interior angles are congruent

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#### In the following figure

if $l_1 \parallel l_2$ then

• ∠3 ≅ (1)
• ∠4 ≅ (2)
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∠6
∠5
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#### Interior angles property

In the figure below, If $l_1 \parallel l_2$ then

• ∠3 is supplementary to (1)
• ∠4 is supplementary to (2)
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∠6
∠5
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#### Refer to the below figure

If $l_1 \parallel l_2$ and m(∠3) = 120o, find the measures of the other seven angles that are labelled.

1. m(∠1) =
2. m(∠2) =
3. m(∠4) =
4. m(∠5) =
5. m(∠6) =
6. m(∠7) =
7. m(∠8) =
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#### Refer to the figure below

if $\overline{AB} \parallel \overline{DE}$, which pairs of angles are congruent?

A ≅ ∠1
B ≅ ∠2
A ≅ ∠3
B ≅ ∠4
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#### In the figure below

$l_1 \parallel l_2$.  Find $x$

$x$ =

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#### In the figure below

$l_1 \parallel l_2$

1. Find $x$
2. Find the measures of both angles labelled in the figure

$x$ =

m(3x + 20o) =

m(3x - 80o) =

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