Question

Which angle relationships are correct? Check all that apply

Answer 1

∠1 and ∠8 are alternate exterior angles

∠4 and ∠6 are same side interior angles

∠3 and ∠6 are alternate interior angles

Explanation:

Verify each case

case 1) ∠1 and ∠8 are alternate exterior angles

The relationship is correct

case 2) ∠4 and ∠6 are same side interior angles

The relationship is correct

case 3) ∠5 and ∠7 are vertical angles

The relationship is incorrect

Because ∠5 and ∠7 are supplementary angles

case 4) ∠2 and ∠8 are corresponding angles

The relationship is incorrect

case 5) ∠3 and ∠6 are alternate interior angles

The relationship is correct

Answer 2

A) ∠1 and ∠8 are alternate exterior angles

B) ∠4 and ∠6 are same side interior angles

E) ∠3 and ∠6 are alternate interior angles

Explanation:

Let's check the each options.

A) ∠1 and ∠8 are alternate exterior angles

The exterior angles are ∠1, ∠2, ∠7 and ∠8.

This is correct.

B) ∠4 and ∠6 are same side interior angles.

∠4 and ∠6 are inside the line m and n, they are in the same side, you can see it on the figure.

This is correct

C) ∠5 and ∠7 are vertical angles

∠5 and ∠7 are supplementary angles.

This is not correct.

D) ∠2 and ∠8 are corresponding angles

These are same side of exterior angles.

This is not correct.

E) ∠3 and ∠6 are alternate interior angles

These are interior angles and alternative to each other.

This is correct.