What is the name of the relationship between ∠1 and ∠8 ?

a. adjacent angles

b. alternate interior angles

c. alternate exterior angles

d. corresponding angles

∠1 and ∠8 are alternate exterior angles.

Step-by-step explanation:

We are given two parallel lines and one transversal line which cuts both parallel line and makes two 8 angles.

We need to find the relation between them

As we know total 8 angles form when two parallel line cut by one line.

Name of angles (relation of angles)

Alternate Exterior Angles are a pair of angles on the inside of each of those two parallel lines but on opposite sides of the transversal.

Alternate Exterior Angles are a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.

Adjacent angles are a pair of angles whose a common side and a common vertex.

Corresponding angles are a pair of angles whose one out side and one inside of those parallel lines but on same side of the transversal.

Here, ∠1=∠8 because ∠1 and ∠8 are alternate exterior angles.

Thus, ∠1 and ∠8 are alternate exterior angles.

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step-by-step explanation:

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