1. The problem asks to find the angle vertical to \(\angle 2\). 2. Vertical angles are the pairs of opposite angles made by two intersecting lines. They are always equal. 3. From the description, the angles are labeled clockwise: top left is \(\angle 3\), then \(\angle 4\), \(\angle 5\), \(\angle 1\), and \(\angle 2\). 4. Since \(\angle 1\) is marked as a right angle, and the angles are formed by intersecting lines, \(\angle 2\) and \(\angle 4\) are opposite each other. 5. Therefore, the angle vertical to \(\angle 2\) is \(\angle 4\). Final answer: \(\boxed{4}\)