1. A two-rut road runs due north and south. A jackrabbit, heading in a roughly southeasterly direction, runs across the ruts in a straight path. The jackrabbit’s path and the western side of the first rut make an angle of 43°. What is the measure of the angle made by the jackrabbit’s path and the southern and eastern side of the second rut? [A] 133° [B] 137° [C] 47° [D] 43°

2. Two parallel north-south roads are 5 km apart. A motorcycle traveling north turns left, leaving the eastern road at an angle of 31°, and drives toward the western road. Somewhere between the two roads, the motorcycle turns left again and heads in a new direction, roughly southwest, toward the western road. It meets the western road at an angle of 36°. What was the measure of the angle of the second left turn the motorcycle made? [A] 59° [B] 144° [C] 5° [D] 113°

3. A railroad line runs due east and west. A mouse, heading in a roughly northwesterly direction, runs across the tracks in a straight path. The mouse’s path and the western side of the first rail make an angle of 130°. What is the measure of the angle made by the mouse’s path and the southern and eastern side of the second rail? [A] 220° [B] 50° [C] 40° [D] 130°

4. Two mountain-bikers are beginning to race across a prairie. Clarissa is a hundred meters south of Juan. Clarissa will be traveling in the direction 44° E of S. Juan will be traveling in the direction 49° S of E. If they continue to travel in their present directions, will the paths of the bikers ever cross? Why? [A] No; they are traveling on diverging paths. [B] No; they are traveling on parallel paths. [C] Yes; they are traveling on parallel paths. [D] Yes; they are traveling on converging paths.

5. Two ships are beginning to travel across an ocean. Home Away From Home is several kilometers east of Waves of Steel. Home Away From Home will be traveling in the direction 9° N of E. Waves of Steel will be traveling in the direction 79° E of N. If they continue to travel in their present directions, will the paths of the ships ever cross? Why? [A] Yes; they are traveling on converging paths. [B] Yes; they are traveling on parallel paths. [C] No; they are traveling on converging paths. [D] No; they are traveling on diverging paths.