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°