Question

classify the angle pair ∠5 and ∠8.
f vertical angles
g alternate interior angles
h adjacent angles
j same - side interior angles
question 17 (2 points)
which angles in the diagram are not corresponding angles?
a ∠1 and ∠5 c ∠4 and ∠8
b ∠2 and ∠6 d ∠2 and ∠7

Explanation:

Step1: Recall angle - pair definitions

Vertical angles are opposite each other when two lines intersect. Alternate interior angles are between two parallel lines and on opposite sides of a transversal. Adjacent angles share a common side and a common vertex. Same - side interior angles are between two parallel lines and on the same side of a transversal. For corresponding angles, they are in the same relative position with respect to the parallel lines and the transversal.

Step2: Analyze ∠5 and ∠8

In a typical parallel - lines and transversal setup, ∠5 and ∠8 are vertical angles as they are opposite each other at the intersection of two lines.

Step3: Analyze corresponding angles

Corresponding angles are in the same relative position. ∠1 and ∠5, ∠2 and ∠6, ∠4 and ∠8 are corresponding angles. ∠2 and ∠7 are not corresponding angles.

Answer:

Question 16: F. Vertical angles
Question 17: D. ∠2 and ∠7