Question

which angles are corresponding angles?
parallel lines s and t are cut by a transversal r.
∠3 and ∠7
∠4 and ∠6
∠1 and ∠8
∠1 and ∠7

Explanation:

Step1: Recall corresponding angles definition

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

Step2: Analyze each pair

• For \(\angle3\) and \(\angle7\): They are alternate interior angles.
• For \(\angle4\) and \(\angle6\): They are alternate interior angles.
• For \(\angle1\) and \(\angle8\): They have no specific standard angle - pair relationship.
• For \(\angle1\) and \(\angle7\): \(\angle1\) and \(\angle7\) are in the same relative position (upper - right at their respective intersections) so they are corresponding angles.

Answer:

\(\angle1\) and \(\angle7\)