Lines and Angles
The image shows three parallel horizontal lines and two transversal lines.
When parallel lines are intersected by one transversal line, the corresponding interior and exterior angles formed are congruent.
We have added more details to the figure, so the explanation is easier and more understandable.
The first two parallel lines are cut by the same line, thus the interior angles are congruent, that is:
4x + 2 = 62
Subtracting 2 and dividing by 4:
x = 15
The same situation comes with angles 12y and 144. They are corresponding angles, thus:
12y = 144
y = 12
