Angles Test, Parallel Lines Cut by a Transversal Test

1. In the following figure of two intersecting lines, what is the measure of angle2?

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 angle8?
45°      145°      55°      135°      155°     

4. What is the measure of angle3?
45°      145°      135°      55°      155°     

5. What is the measure of angle6?
45°      145°      135°      55°      155°     

6. What type of angle pair is angle1 and angle5?
alternate interior angles     
supplementary angles     
corresponding angles     
alternate exterior angles    
vertical angles     

7. What is the measure of angle2?
55°      180°      80°      45°      135°     

8. What type of angle pair is angle1 and angle3?
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 angle8?

angle1      angle3      angle4      angle5      none of the above     

14. Using the figure below, which of the statements is true?

angleABD ≅ angleDBC     
angleABD and angleABC are adjacent angles.     
angleABD and angleDBC are complementary.     
angleDBC is half of the measure of angleABC.     
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.

angleABD and angleDBC are a linear pair.     
angleABE and angleEBC are adjacent.     
angleDBE and angleEBC are adjacent.     
angleEBC and angleEBA are a linear pair.    
All of the above are true.     

17. What is the measure of angleABC?

25°      75°      108°      150°      100°     

18.Which of the following statements is true about the figure?

angleDBC measures 180°.     
angleBAC is a right angle.     
angleCBA and angleABD 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?

angle3 and angle4 are vertical angles.     
angle5 and angle8 are corresponding angles.     
angle3 and angle5 are alternate interior angles.     
angle2 and angle8 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 angle2?

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°     

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