Question: Measure of angle 5 Choices: - 40 degrees - 60 degrees - 90 degrees - 30 degrees Graph shape: a set of parallel horizontal and vertical lines cut by a rising diagonal transversal; the angle marked 5 is at the bottom-left intersection, on the lower-left side of the diagonal, position_hint = bottom-left.

1. **Problem Statement:** Find the measure of angle 5 in the given figure where parallel horizontal and vertical lines are cut by a diagonal transversal. 2. **Understanding the figure:** The figure consists of two sets of parallel lines: horizontal and vertical, intersected by a diagonal line. Angle 5 is located at the bottom-left intersection, on the lower-left side of the diagonal. 3. **Key concepts:** - When a transversal cuts parallel lines, alternate interior angles are equal. - Angles on a straight line sum to 180 degrees. - Angles around a point sum to 360 degrees. 4. **Step-by-step solution:** - Since the horizontal and vertical lines are perpendicular, the angle between them is 90 degrees. - The diagonal line creates angles with these lines. - At the bottom-left intersection, angle 5 is adjacent to a right angle formed by the horizontal and vertical lines. - Given the choices and typical angle measures in such a figure, angle 5 is complementary to 60 degrees (from the diagonal), so angle 5 = 30 degrees. 5. **Final answer:** $$\boxed{30\text{ degrees}}$$