Question

Select all that apply

A) ∠1 and ∠8 are alternate exterior angles.


B) ∠2 and ∠8 are corresponding angles.


C) ∠3 and ∠7 are corresponding angles.


D) ∠4 and ∠6 are alternate interior angles.


E) ∠5 and ∠7 are corresponding angles.

Answer 1

A C and D are correct

Answer 2

A). ∠ 1 \angle 1 ∠1 and ∠ 8 \angle 8 ∠8 are a pair of alternate exterior angles.

B). ∠1 and ∠5 are a pair of corresponding angles. Similarly, ∠2 and ∠6, ∠3 and 7, and ∠4 and ∠8

C). ∠3 ≅ ∠60°

Explanation:

A) both angles are located outside lines s and h, are not adjacent to each other, and are on opposite sides of the transversal.

B). The Corresponding Angles Postulate states that if k and l are parallel , then the pairs of corresponding

C). are also corresponding angles.

D)

For example, ∠4 and ∠6 are corresponding angles, therefore they are congruent. Other pairs of corresponding angles include ∠3 and ∠5, ∠1 and ∠7, and ∠2 and ∠8. Vertical Angles are formed by angles that are opposite of each other.