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NAME _____________________________________________ DATE ____________________________ PERIOD ____________ 7th Grade Pre-AP - Lesson 5.1 Homework Parallel Lines and Angle Relationships For Exercises 1-6, use the figure at the right. In the figure, line m is parallel to line n: List all pairs of each type of angle. 1. vertical 2. complementary 3. supplementary 4. corresponding 5. alternate interior 6. alternate exterior Use the figure at the right for Exercises 7-10. 7. Determine the measure of ∠2. Explain your reasoning. 8. Determine the measure of ∠3. Explain your reasoning. 9. Determine the measure of ∠4. Explain your reasoning. 10. Determine the measure of ∠6. Explain your reasoning. 11. Angles A and B are corresponding angles formed by two parallel lines cut by a transversal. If m∠A = 4x and m∠B = 3x + 7, find the value of x. Explain. 12. Angles G and H are supplementary and congruent. If ∠G and ∠H are alternate interior angles, what is the measure of each angle? Course 3 • Chapter 5 Triangles and the Pythagorean Theorem NAME _____________________________________________ DATE ____________________________ PERIOD ____________ Problem-Solving Practice Parallel Lines and Angle Relationships 13. The symbol below is an equal sign with a slash through it. It is used to represent not equal to in math, as in 1 ≠ 2. If m∠1 = 108°, classify the relationship between ∠1 and ∠2. Then determine mL2. Assume the equal sign consists of parallel lines. 14. Arturo is designing a bridge for science class using parallel supports for the top and bottom beam. Determine m∠2 if m∠1 = 60°. 15. For cheerleading practice, Kiara must be able to lift her legs so that they are parallel to her outstretched arms. For each side of her body, what is the relationship between the angle formed by her arms and the floor and the angle formed by her legs and the floor? 16. In the figure, line m is parallel to line n. If m∠3 = 7x – 10 and m∠6 = 5x + 10, What is the measure of ∠3 and ∠6? 17. Refer to the figure in Exercise 4. If m∠1 = 4x + 40, and m∠5 = 120°, what is the value of x? 18. The drawing below shows the side view of a drawing easel. The brace is parallel to the ground. If m∠A is 82°, what is the measure of ∠B? Course 3 • Chapter 5 Triangles and the Pythagorean Theorem