Angles in parallel linesCorresponding angles
The two lines are parallel. Find x.
Where one line crosses two parallel lines, angles in matching positions are equal. These free printable worksheets draw the figure, mark one angle, and ask for its partner.
If they get stuck

The answer key prints on a separate page.
The letter F is the standard picture and it earns its place: the two angles sit inside the arms of an F, in the same corner of each crossing. Once a child can find the F in a diagram — including upside down and back to front, which is most of them — the answer is a reading rather than a calculation.
Why they are equal is worth one sentence. Sliding the whole crossing along the transversal onto the other parallel line lands one angle exactly on the other, and that only works because the lines never converge. A child who has heard that once treats the parallel marks on the diagram as part of the reason rather than decoration.
One question from a sheet like this one, worked a step at a time — with a sentence saying what just happened and why.
Corresponding angles, step by step