Question

which angles would the consecutive interior angles theorem state are supplementary? ∠3 and ∠6, ∠4 and ∠5 ∠3 and ∠4, ∠5 and ∠6 ∠1 and ∠4, ∠5 and ∠87 ∠2 and ∠3, ∠6 and ∠7

Explanation:

Step1: Recall consecutive - interior angles definition

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

Step2: Identify pairs in the figure

In the given figure with lines \(m\), \(n\) and transversal \(l\), the pairs of consecutive - interior angles are \(\angle3\) and \(\angle6\), and \(\angle4\) and \(\angle5\).

Answer:

\(\angle3\) and \(\angle6\), \(\angle4\) and \(\angle5\)