Parallel Lines Cut by Transversal - Test 1. In the following figure of two intersecting lines, what is the measure of ∠2? 38° 58° 71° 142° 42° 2. What is the value of x, shown below? 60° 26° 14° 10° 120° Use the following diagram of parallel lines cut by a transversal to answer questions 3 through 9. 3. What is the measure of ∠8? 45° 145° 55° 135° 155° 4. What is the measure of ∠3? 45° 145° 135° 55° 155° 5. What is the measure of ∠6? 45° 145° 135° 55° 155° 6. What type of angle pair is ∠1 and ∠5? alternate interior angles supplementary angles corresponding angles alternate exterior angles vertical angles 7. What is the measure of ∠2? 55° 180° 80° 45° 135° 8. What type of angle pair is ∠1 and ∠3? alternate interior angles supplementary angles corresponding angles alternate exterior angles vertical angles 9. In the diagram, what is the value of x? 21° 27° 4° 135° 20° 10. What are the values of the two angles shown in the figure below? 18° and 152° 30° and 150° 45° and 135° 42° and 138° 60° and 120° 11. What is the measure of the complement of 62°? 38° 28° 118° 128° 62° 12. Which of the following statements is ALWAYS TRUE when parallel lines are cut by a transversal? The sum of the degree measure of corresponding angles is 180°. The sum of the degree measure of complementary angles is 180°. The angles in a vertical pair are acute. Corresponding angles are supplementary. Corresponding angles are congruent. 13. In the figure below of a parallel lines cut by a transversal, which angle is supplementary to ∠8? ∠1 ∠3 ∠4 ∠5 none of the above 14. Using the figure below, which of the statements is true? ∠ABD ≅ ∠DBC ∠ABD and ∠ABC are adjacent angles. ∠ABD and ∠DBC are complementary. ∠DBC is half of the measure of ∠ABC. All of the above are true. 15. What is the value of x? 7° 10° 9° 68° 22° 16. Use the following figure to determine which statements are true. ∠ABD and ∠DBC are a linear pair. ∠ABE and ∠EBC are adjacent. ∠DBE and ∠EBC are adjacent. ∠EBC and ∠EBA are a linear pair. All of the above are true. 17. What is the measure of ∠ABC? 25° 75° 108° 150° 100° 18.Which of the following statements is true about the figure? ∠DBC measures 180°. ∠BAC is a right angle. ∠CBA and ∠ABD are supplementary. choices a and c. All of the above are true. 19. What are the values of the two angles? 31° and 159° 62° and 118° 28° and 62° 31° and 49° 31° and 69° 20. What is the value of x in the figure below? 150° 50° 100° 130° 25° 21. In the diagram of parallel lines cut by a transversal, shown below, which of the following statements is false? ∠3 and ∠4 are vertical angles. ∠5 and ∠8 are corresponding angles. ∠3 and ∠5 are alternate interior angles. ∠2 and ∠8 are alternate exterior angles. All of the above are false. 22. The following diagram shows parallel lines cut by a transversal. What is the measure of ∠2? 80° 100° 20° 160° 50° 23. Which of the statements below is ALWAYS TRUE? Supplementary angles are both obtuse angles. Complementary angles are both acute angles. At least one of the angles in a supplementary pair is obtuse. Alternate exterior angles are both obtuse angles. Any two acute angles are complementary. 24. The following diagram shows parallel lines cut by a transversal. What is the value of x? 9° 75° 115° 3° 5° 25. Two angles are a linear pair. Their measures are represented by x+10, and 3x+10. What are the measures of the angles? 40° and 40° 40° and 140° 50° and 130° 60° and 120° 90° and 90°