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Laabri

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

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40 Nsɛmmisa

Angles formed by Parallel Lines cut by a Transversal

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Using Parallel Lines To Find The Measures Of Indicated Angles

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Day 2 4/3/24

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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.

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Which is an example of alternate interior angles

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2.

Which is an example of same-side interior angles

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3.

Which is an example of alternate exterior angles

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4.

Which is an example of same-side exterior angles

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5.

Which is an example of corresponding angles

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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 and Notes Page 4 to help you).

Asemmisa {{asɛmmisaAhyɛnsode}}
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 and Notes Page 4 to help you).

Asemmisa {{asɛmmisaAhyɛnsode}}
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 and Notes Page 4 to help you).

Asemmisa {{asɛmmisaAhyɛnsode}}
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 and Notes Page 4 to help you).

Asemmisa {{asɛmmisaAhyɛnsode}}
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 and Notes Page 4 to help you).

Asemmisa {{asɛmmisaAhyɛnsode}}
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 and Notes Page 4 to help you).

Asemmisa {{asɛmmisaAhyɛnsode}}
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 and Notes Page 4 to help you).

Asemmisa {{asɛmmisaAhyɛnsode}}
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 and Notes Page 4 to help you).

Asemmisa {{asɛmmisaAhyɛnsode}}
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 and Notes Page 4 to help you).

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

If m∠1 = 65°, find each measure.

m∠2=

m∠3=

m∠4=

m∠5=

m∠6=

m∠7=

m∠8=

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

If m∠6 =142°, find each measure.

m∠1=

m∠2=

m∠3=

m∠4=

m∠5=

m∠7=

m∠8=

Asemmisa {{asɛmmisaAhyɛnsode}}
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=

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18.

If l ∥ m, then solve for x.

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19.

If l ∥ m, then solve for x.

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20.

If l ∥ m, then solve for x.

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21.

If l ∥ m, then solve for x.

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22.

If l ∥ m, then solve for x.

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23.

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

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24.

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

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25.

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

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26.

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

∠4 = 45° because

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28.

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

∠1 = 130° because

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30.

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

∠7=130° because

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32.

Tell why each of the angles indicated are supplementary to the angle measure shown.

∠6=50° because

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35.

Find the indicated angle measures.

Find the indicated angle measures.

m∠1 = ______°

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36.

Find the indicated angle measures.  Then justify each answer.

m∠1 = 96° because