Mark an angle which makes a vertical angles pair with one of the given angles. Then, use this angle to create a new pair of congruent angles with the other angle. Use the Consecutive Interior Angles Converse.
No, see solution.
Practice makes perfect
The congruent angles are on opposite sides of the transversal. One of them is located between the lines m and n, and the other is located on the other side of the line m.
We cannot yet classify this pair of angles to any type we previously learned. Let's mark the angle opposite one of the angles.
We can also say this angle is congruent to th two angles, because it makes a vertical angles pair with the upper angle. Now, let's pay attention to the new pair.
Those congruent angles are between the lines m and n and on the same side of the transversal.
According to the Consecutive Interior Angles Converse, if the consecutive interior angles are supplementary, then the lines are parallel. However, we know that two given angles are congruent, not supplementary! Therefore,we do not have enough information to determine whether m ∥ n.
