Question

number 3: classify the relationship between each pair of angles as alternate interior, alternate exterior, corresponding, consecutive interior, or consecutive interior angles. a. ∠4 and ∠5 are b. ∠3 and ∠7 are c. ∠3 and ∠5 are d. ∠1 and ∠8 are e. ∠1 and ∠7 are

Explanation:

Step1: Recall angle - pair definitions

Alternate interior angles are non - adjacent angles between two parallel lines and on opposite sides of a transversal. Alternate exterior angles are non - adjacent angles outside two parallel lines and on opposite sides of a transversal. Corresponding angles are in the same relative position with respect to the parallel lines and the transversal. Consecutive interior angles are between two parallel lines and on the same side of a transversal.

Step2: Analyze each pair

a. $\angle4$ and $\angle5$

They are consecutive interior angles as they are between the two parallel - looking lines and on the same side of the transversal.

b. $\angle3$ and $\angle7$

They are corresponding angles as they are in the same relative position with respect to the parallel lines and the transversal.

c. $\angle3$ and $\angle5$

They are alternate interior angles as they are between the two parallel lines and on opposite sides of the transversal.

d. $\angle1$ and $\angle8$

They are alternate exterior angles as they are outside the two parallel lines and on opposite sides of the transversal.

e. $\angle1$ and $\angle7$

They are corresponding angles as they are in the same relative position with respect to the parallel lines and the transversal.

Answer:

a. Consecutive interior
b. Corresponding
c. Alternate interior
d. Alternate exterior
e. Corresponding