Question

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.

Answer 1

See below

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.

`\implies m\angle 8 = m\angle 3`

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.

`\implies m\angle 6 + m\angle 2 =180\degree`

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.

`\implies m\angle 5 = m\angle 3`

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.

`\implies m\angle 8 = m\angle 2`

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.

`\implies m\angle 7+ m\angle 3=180\degree`

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.

`\implies m\angle 6 = m\angle 1`

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.

`\implies m\angle 5+ m\angle 4=180\degree`

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.

`\implies m\angle 6 = m\angle 4`

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.

`\implies m\angle 7 = m\angle 1`

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.

`\implies m\angle 8+ m\angle 1=180\degree`

Answer 2

`\:`

Solution :

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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.

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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.

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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.

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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.

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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.

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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.