Chapter 12, Problem 6CT

To determine

To state whether the angle in the diagram is corresponding, alternate interior, or alternate exterior angle.

Answer to Problem 6CT

The angle $\angle 4\text{ and }\angle 5$ are alternate interior angles.

Explanation of Solution

Given information:

Theangles $\angle 4\text{ and }\angle 5$ is given in the diagram.

Concept used:

When a transversal intersects two parallel lines, certain pairs of angles that are formed have equal measures.

Using the concept, it is observed that the angles $\angle 4\text{ and }\angle 5$ , are crossed by a transversal and they are on the inner side of each those two lines but on opposite sides of the transversal. So, the angles are alternate interior angles.

Therefore,

The angle $\angle 4\text{ and }\angle 5$ are alternate interior angles.