Question

which angles are pairs of corresponding angles? check all that apply.

Explanation:

Step1: Recall the definition of corresponding angles

Corresponding angles are angles that are in the same relative position at each intersection where a straight line crosses two others.

Step2: Analyze each pair

• For $\angle1$ and $\angle16$: They are not in the same relative position.
• For $\angle2$ and $\angle6$: They are in the same relative position (upper - right at their respective intersections), so they are corresponding angles.
• For $\angle3$ and $\angle7$: They are in the same relative position (lower - right at their respective intersections), so they are corresponding angles.
• For $\angle16$ and $\angle12$: They are not in the same relative position.
• For $\angle5$ and $\angle16$: They are not in the same relative position.
• For $\angle8$ and $\angle14$: They are in the same relative position (lower - left at their respective intersections), so they are corresponding angles.

Answer:

$\angle2$ and $\angle6$, $\angle3$ and $\angle7$, $\angle8$ and $\angle14$