Answer:
3) D. ∠4 = ∠5
4) D. ∠1, ∠4, and ∠8
5) D. ∠3 and ∠5 are congruent angles
6) D. ∠3 and ∠7, ∠4 and ∠8
7) C. ∠3 and ∠6, ∠4 and ∠5
Step-by-step explanation:
3) When a transversal cuts two lines and the alternate interior angles are equal, the lines are said to be parallel.
∠4 and ∠5 are alternate interior angles and if they are equal, then line A and line B are parallel.
4) ∠5 and ∠1 are corresponding angles. ∠5 and ∠8 are vertical angles. ∠5 and ∠4 are alternate interior angles.
Corresponding angles, vertical angles, and alternate interior angles are congruent or equal to each other.
5) ∠3 and ∠5 are not congruent. It is because they are not either alternate interior angles, an alternate exterior angle, corresponding angles, or vertical angles.
6) ∠3 and ∠7 are corresponding angles because they are on the same side of the transversal line and ∠3 is an interior while ∠7 is an exterior angle.
∠4 and ∠8 are corresponding angles because they are on the same side of the transversal line and ∠4 is an interior while ∠8 is an exterior angle.
7) ∠3 and ∠6 are alternate interior angles because they are both interior angles but are not on the same side of the transversal line.
∠4 and ∠5 are also alternate interior angles because they are both interior angles but are also not on the same side of the transversal line.
