Question

Name two pairs of congruent alternate interior angles.

Short answer

The required pairs are $\mathbf{\angle }\mathbf{4}$and $\mathbf{\angle }\mathbf{6}$.

Step-by-step solution

Step 1. Observe the diagram

The observation of the diagram results that the angles $\angle 3$and $\angle 6$are positioned on the transversal but these angles are having the opposite sides along with this these angles are representing the non adjacent interior angles.

Step 2. Make sure that the obtained angles are the required or not

So according to the definition of same side interior angles which states that angles are same side interior angles when they are positioned on the transversal but these angles are having the opposite sides along with this these angles are representing the non adjacent interior angles the angles are same side interior angles.

Step 3. Determine the conclusion

The obtained angles are required angles because these are matching with the definition.