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Angles Test, Parallel Lines Cut by a 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 è 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°