Question

identify all pairs of corresponding angles. 11 ∠1 and ∠5 ∠2 and ∠7 ∠4 and ∠5 ∠1 and ∠8 ∠3 and ∠6 ∠4 and ∠6 ∠2 and ∠6 ∠3 and ∠7 ∠4 and ∠8

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 \(\angle5\): They are in the same relative position (upper - left at their respective intersections), so they are corresponding.
• For \(\angle2\) and \(\angle6\): They are in the same relative position (upper - right at their respective intersections), so they are corresponding.
• For \(\angle3\) and \(\angle7\): They are in the same relative position (lower - left at their respective intersections), so they are corresponding.
• For \(\angle4\) and \(\angle8\): They are in the same relative position (lower - right at their respective intersections), so they are corresponding.

Answer:

\(\angle1\) and \(\angle5\), \(\angle2\) and \(\angle6\), \(\angle3\) and \(\angle7\), \(\angle4\) and \(\angle8\)