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Angle Pairs ( Lines cut by a Transversal )

i don't really get it. an explanation would be nice, too, if possible..
- due in 3 hours

please answer ONLY if you know, thank you :)) !!


What are pair relation exists between angle 8 and angle 3? Use the figure below as a reference.


What are pair relation exists between angle 6 and angle 2? Use the figure below as a reference.


What are pair relation exists between angle 5 and angle 3? Use the figure below as a reference.


What are pair relation exists between angle 8 and angle 2? Use the figure below as a reference.


What are pair relation exists between angle 7 and angle 3? Use the figure below as a reference.


What are pair relation exists between angle 6 and angle 1? Use the figure below as a reference.


What are pair relation exists between angle 5 and angle 4? Use the figure below as a reference.


What are pair relation exists between angle 6 and angle 4? Use the figure below as a reference.


What are pair relation exists between angle 7 and angle 1? Use the figure below as a reference.


What are pair relation exists between angle 8 and angle 1? Use the figure below as a reference.

Angle Pairs Lines cut by a Transversal i dont really get it an explanation would be nice too if possible due in 3 hoursplease answer ONLY if you know thank you class=

Respuesta :

Hrishii

Answer:

See below

Step-by-step explanation:

What are pair relation exists between angle 8 and angle 3? Use the figure below as a reference.

Answer: Exterior alternate angles

Exterior alternate angles are equal in measure.

[tex]\implies m\angle 8 = m\angle 3[/tex]

What are pair relation exists between angle 6 and angle 2? Use the figure below as a reference.

Answer: Interior angles on the same side of transversal.

Interior angles on the same side of transversal are supplementay.

[tex]\implies m\angle 6 + m\angle 2 =180\degree[/tex]

What are pair relation exists between angle 5 and angle 3? Use the figure below as a reference.

Answer: Corresponding angles

Corresponding angles are equal in measure.

[tex]\implies m\angle 5 = m\angle 3[/tex]

What are pair relation exists between angle 8 and angle 2? Use the figure below as a reference.

Answer: Corresponding angles

Corresponding angles are equal in measure.

[tex]\implies m\angle 8 = m\angle 2[/tex]

What are pair relation exists between angle 7 and angle 3? Use the figure below as a reference.

Answer: Exterior angles on the same side of transversal

Exterior angles on the same side of transversal are supplementay.

[tex]\implies m\angle 7+ m\angle 3=180\degree[/tex]

What are pair relation exists between angle 6 and angle 1? Use the figure below as a reference.

Answer: Corresponding angles

Corresponding angles are equal in measure.

[tex]\implies m\angle 6 = m\angle 1[/tex]

What are pair relation exists between angle 5 and angle 4? Use the figure below as a reference.

Answer: Interior angles on the same side of transversal

Interior angles on the same side of transversal are supplementay.

[tex]\implies m\angle 5+ m\angle 4=180\degree[/tex]

What are pair relation exists between angle 6 and angle 4? Use the figure below as a reference.

Answer: Alternate angles

Alternate angles are equal in measure.

[tex]\implies m\angle 6 = m\angle 4[/tex]

What are pair relation exists between angle 7 and angle 1? Use the figure below as a reference.

Answer: Exterior alternate angles

Exterior alternate angles are equal in measure.

[tex]\implies m\angle 7 = m\angle 1[/tex]

What are pair relation exists between angle 8 and angle 1? Use the figure below as a reference.

Answer: Exterior angles on the same side of transversal.

Exterior angles on the same side of transversal are supplementay.

[tex]\implies m\angle 8+ m\angle 1=180\degree[/tex]

[tex] \: [/tex]

Solution :

⠀

1. What are pair relation exists between angle 8 and angle 3?

  • Alternate exterior angles.

  • A pair of angles in which one arm of each of the angles is on the opposite sides of the transversal and the other arm in opposite direction is called a pair of alternate exterior angles.

⠀

2. What are pair relation exists between angle 6 and angle 2?

  • ∠6 + ∠2 = 180°. Therefore, ∠6, ∠2 is a pair of interior angles on the same side of the transversal.

⠀

3. What are pair relation exists between angle 5 and angle 3?

  • Corresponding angles.

  • A pair of angles in which one arm of each angle of a pair is on the same of the transversal and the other arm of the angles of the pair are directed in the same direction are known as Corresponding angles.

⠀

4. What are pair relation exists between angle 8 and angle 2?

  • Corresponding angles.

  • A pair of angles in which one arm of each angle of a pair is on the same of the transversal and the other arm of the angles of the pair are directed in the same direction are known as Corresponding angles.

⠀

5. What are pair relation exists between angle 7 and angle 3?

  • ∠7 + ∠3 = 180°. Therefore, ∠7, ∠3 is a pair of exterior angles on the same side of the transversal.

⠀

6. What are pair relation exists between angle 6 and angle 1?

  • Corresponding angles.

  • A pair of angles in which one arm of each angle of a pair is on the same of the transversal and the other arm of the angles of the pair are directed in the same direction are known as Corresponding angles.

⠀

7. What are pair relation exists between angle 5 and angle 4?

  • ∠5 + ∠4 = 180°. Therefore, ∠6, ∠2 is a pair of interior angles on the same side of the transversal.

⠀

8. What are pair relation exists between angle 6 and angle 4?

  • Alternate interior angles

  • A pair of angles in which one arm of each of the angles is on the opposite sides of the transversal is called a pair of alternate interior angles.

⠀

9. What are pair relation exists between angle 7 and angle 1?

  • Alternate exterior angles.

  • A pair of angles in which one arm of each of the angles is on the opposite sides of the transversal and the other arm in opposite direction is called a pair of alternate exterior angles.

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