Question

What is the name of the relationship between ∠1 ​ and ∠5?

A)alternate exterior angles

B)corresponding angles

C)alternate interior angles

D)adjacent angles

Answer 1

The relationship between ∠1 and ∠5 is alternate interior angles.

Step-by-step explanation:

The name of the relationship between ∠1 and ∠5 is alternate interior angles.

Alternate interior angles are pairs of angles that are inside the two parallel lines, on opposite sides of the transversal. In this case, the two lines being cut by the transversal are lines 1 and 5.

A visual representation of alternate interior angles is that they look like a letter 'Z' when the lines are parallel.

Answer 2

∠1 ​ and ∠5 are the corresponding angles .

Option (B) is correct .

Step-by-step explanation:

Definition of alternate interior angle

Two lines are crossed by another line (called Transversal), the angles in matching corners are called corresponding angles.

As clearly shown in the figure

There are two parallel lines interest by the Transversal and ∠1 ​ and ∠5 are made on the matching corners .

Thus ∠1 ​ and ∠5 are the corresponding angles .

Option (B) is correct .