Question

1. choose the correct answer. given ∠1, ∠4, ∠6, and ∠7, which are same - side exterior angles? ∠4 and ∠8 ∠4 and ∠7 ∠3 and ∠7 ∠1 and ∠8

Explanation:

Step1: Recall same - side exterior angles definition

Same - side exterior angles are two exterior angles that lie on the same side of the transversal.

Step2: Analyze each option

• For \(\angle4\) and \(\angle8\): \(\angle4\) is an interior angle (not exterior), so this option is incorrect.
• For \(\angle4\) and \(\angle7\): \(\angle4\) is an interior angle (not exterior), so this option is incorrect.
• For \(\angle3\) and \(\angle7\): \(\angle3\) is an interior angle (not exterior), so this option is incorrect.
• For \(\angle1\) and \(\angle8\): \(\angle1\) and \(\angle8\) are exterior angles and lie on the same side of the transversal \(t\).

Answer:

\(\angle1\) and \(\angle8\)