Question

1. choose the correct answer.

which are alternate exterior angles?
∠6 and ∠7
∠1 and ∠8
∠2 and ∠6
∠2 and ∠8

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are non - adjacent angles that lie outside the two lines and on opposite sides of the transversal.

Step2: Analyze each option

• For \(\angle6\) and \(\angle7\): These are adjacent angles (they share a common side), so they are not alternate exterior angles.
• For \(\angle1\) and \(\angle8\): \(\angle1\) is above line \(l\) and \(\angle8\) is below line \(m\). They do not satisfy the alternate exterior angle condition.
• For \(\angle2\) and \(\angle6\): \(\angle2\) is above line \(l\) and \(\angle6\) is between line \(l\) and \(m\). They are not alternate exterior angles.
• For \(\angle2\) and \(\angle8\): \(\angle2\) is above line \(l\), \(\angle8\) is below line \(m\), and they are on opposite sides of the transversal \(t\). They are alternate exterior angles.

Answer:

\(\angle2\) and \(\angle8\)