Question

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

Explanation:

Step1: Recall the definition of consecutive interior angles

Consecutive interior angles are two angles that lie between two lines and on the same side of a transversal.

Step2: Analyze each pair

• For \(\angle1\) and \(\angle5\): These are corresponding angles (not consecutive interior).
• For \(\angle3\) and \(\angle5\): These are same - side exterior and interior (not consecutive interior).
• For \(\angle4\) and \(\angle5\): These lie between the two parallel - looking lines and on the same side of the transversal.
• For \(\angle2\) and \(\angle6\): These are corresponding angles (not consecutive interior).
• For \(\angle3\) and \(\angle6\): These are alternate interior angles (not consecutive interior).
• For \(\angle4\) and \(\angle6\): These are vertical angles (not consecutive interior).
• For \(\angle2\) and \(\angle7\): These are alternate exterior and interior (not consecutive interior).
• For \(\angle3\) and \(\angle7\): These are corresponding angles (not consecutive interior).
• For \(\angle4\) and \(\angle8\): These are corresponding angles (not consecutive interior).

Answer:

\(\angle4\) and \(\angle5\)