How to solve parallel lines with transversal?

The angles have special names identifying their positions with respect to the parallel lines and transversal. They are corresponding angles, alternate interior angles, or alternate exterior angles. An angles is congruent to its matched angle.

Hope this helps!
STSN

The 128° angle and the top right exterior angle are corresponding angles, which means they have the same angle measurement. The top right exterior angle is also 128°.

The ? angle and the bottom right exterior angle are also corresponding angles, so they will have the same measurements.

To determine the ? angle, we know that a line is 180°. So if we add the 128° angle and the bottom right exterior angle, they will equal 180°.

When we determine the bottom right exterior angle, we know the ? angle will be identical because they are corresponding angles.

180° of a line - 128° angle= bottom right exterior angle
180-128= 52°

Bottom right exterior angle= 52°

Therefore the ? angle also equals 52°.

I wish the angles were labeled so it would be easier to explain. I hope this makes sense.

Hope this helps! :)