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6.5.1 Angles Formed When Parallel Lines are Cut by a Transversal (Due 1/28/25)

Last updated 3 months ago

15 Nsɛmmisa

Using Parallel Lines To Find The Measures Of Indicated Angles

Ɛhia

12

Ɛhia

12

Ɛhia

20

Ɛhia

70

Ɛhia

35

Ɛhia

10

Ɛhia

10

Ɛhia

10

Ɛhia

10

Ɛhia

10

Ɛhia

10

Ɛhia

10

Ɛhia

10

Ɛhia

20

Ɛhia

20

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.

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

∠9

∠7

∠13

∠11

∠3

∠14

∠1

∠4

∠8

∠12

∠2

∠5

∠15

∠6

∠16

∠10

Asemmisa {{asɛmmisaAhyɛnsode}}

2.

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

∠13

∠11

∠1

∠4

∠16

∠12

∠14

∠8

∠3

∠5

∠7

∠9

∠2

∠10

∠6

∠15

Asemmisa {{asɛmmisaAhyɛnsode}}

3.

Given the diagram, m∠2=105°

What is m∠12?

°

What is the reason? (Use Notes Page 3 to help you).

Asemmisa {{asɛmmisaAhyɛnsode}}

4.

If m∠1 = 72° and the m∠13 =37°, find each measure. Don't be an NPC use the degree symbol.

m∠2= m∠9=

m∠3= m∠10=

m∠4= m∠11=

m∠5= m∠12=

m∠6= m∠14=

m∠7= m∠15=

m∠8= m∠16=

Asemmisa {{asɛmmisaAhyɛnsode}}

5.

If m∠2 = 41°, m∠5 = 94°, and m∠10 = 109°, find each measure. Don't be an NPC use the degree symbol.

m∠1=

m∠3=

m∠4=

m∠6=

m∠7=

m∠8=

m∠9=

Asemmisa {{asɛmmisaAhyɛnsode}}

6.

Find the indicated angle measures. Then justify each answer.

∠6 =

Asemmisa {{asɛmmisaAhyɛnsode}}

7.

Find the indicated angle measures. Then justify each answer.

∠2 =

Asemmisa {{asɛmmisaAhyɛnsode}}

8.

Find the indicated angle measures. Then justify each answer.

∠4 =

Asemmisa {{asɛmmisaAhyɛnsode}}

9.

Find the indicated angle measures. Then justify each answer.

∠6=

Asemmisa {{asɛmmisaAhyɛnsode}}

10.

Find the indicated angle measures. Then justify each answer.

∠1=

Asemmisa {{asɛmmisaAhyɛnsode}}

11.

Find the indicated angle measures. Then justify each answer.

∠7=

Asemmisa {{asɛmmisaAhyɛnsode}}

12.

Find the indicated angle measures. Then justify each answer.

∠6=

Asemmisa {{asɛmmisaAhyɛnsode}}

13.

Find the indicated angle measures. Then justify each answer.

m∠1 =

Asemmisa {{asɛmmisaAhyɛnsode}}

14.

If l ∥ m, then solve for x.

Asemmisa {{asɛmmisaAhyɛnsode}}

15.

Use your answer from question 14 to answer this question. If l ∥ m, then solve for y.