Question

1. which angles would the consecutive interior angles theorem state are supplementary? ∠2 and ∠4; ∠6 and ∠8 ∠3 and ∠5; ∠4 and ∠6 ∠1 and ∠8; ∠2 and ∠7 ∠1 and ∠5; ∠3 and ∠7

Explanation:

Step1: Recall consecutive - interior angles definition

Consecutive - interior angles are on the same side of the transversal and between the two parallel lines.

Step2: Identify pairs in the figure

In the given figure with parallel lines \(l\) and \(m\) and transversal \(t\), \(\angle3\) and \(\angle5\) are on the same - side of the transversal \(t\) and between \(l\) and \(m\), and \(\angle4\) and \(\angle6\) are on the same - side of the transversal \(t\) and between \(l\) and \(m\).

Answer:

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