Question

for exercises 4 - 7, use the figure at the right. question 4 1 pts which is a pair of alternate interior angles? ∠3 and ∠6 ∠2 and ∠7 ∠6 and ∠5 ∠4 and ∠6

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are non - adjacent angles that lie between two parallel lines and on opposite sides of a transversal.

Step2: Analyze each option

• For \(\angle3\) and \(\angle6\):

They lie between the parallel lines \(t\) and \(u\) and on opposite sides of the transversal.

• For \(\angle2\) and \(\angle7\):

\(\angle2\) is above line \(t\) and \(\angle7\) is below line \(u\), not between the two parallel lines \(t\) and \(u\) in the required way for alternate interior angles.

• For \(\angle6\) and \(\angle5\):

These are adjacent angles (they share a common side), not alternate interior angles.

• For \(\angle4\) and \(\angle6\):

These are consecutive interior angles (they lie between the parallel lines \(t\) and \(u\) and on the same side of the transversal), not alternate interior angles.

Answer:

\(\angle3\) and \(\angle6\)