**Problem Statement:** Note: Figure not drawn to scale In the figure above, r || t . What is the value of x + y ? **Options:** A) 37 B) 40 C) 43 D) 46 **Figure Description:** The image displays two parallel lines, labeled 'r' and 't', intersected by a transversal line segment. Line r is on the left and line t is on the right. Both lines are oriented diagonally, sloping upwards from left to right. The transversal connects line r to line t, sloping downwards from left to right. Three angles are labeled with expressions: 1. At the intersection of line r and the transversal: * An angle above the transversal and to the right of line r (an interior angle) is labeled (5y - 9)°. * An angle below the transversal and to the right of line r (an interior angle) is labeled (5x + 4)°. These two angles, (5y - 9)° and (5x + 4)°, are adjacent angles on the straight line r, meaning they are supplementary. 2. At the intersection of line t and the transversal: * An angle below the transversal and to the left of line t (an interior angle) is labeled 3x°. The problem states that line r is parallel to line t (r || t). The angles (5x + 4)° and 3x° are consecutive interior angles (or same-side interior angles), which are supplementary when lines are parallel. Alternatively, the angle (5y - 9)° and the angle 3x° are alternate interior angles, which are equal when lines are parallel.