Angles Worksheet

Name: ___________________________
Date: ___________________________
Class: ___________________________

A. Identify the Type of Angle

Write acute, right, obtuse, straight, or reflex.

1. An angle measuring $45^\circ$ → __________________
2. An angle measuring $90^\circ$ → __________________
3. An angle measuring $120^\circ$ → __________________
4. An angle measuring $180^\circ$ → __________________
5. An angle measuring $270^\circ$ → __________________
6. An angle measuring $30^\circ$ → __________________
7. An angle measuring $95^\circ$ → __________________
8. An angle measuring $60^\circ$ → __________________
9. An angle measuring $150^\circ$ → __________________
10. An angle measuring $360^\circ$ → __________________

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B. Classify the Angles

Write the correct type of angle.

11. $25^\circ$ → __________________
12. $89^\circ$ → __________________
13. $90^\circ$ → __________________
14. $110^\circ$ → __________________
15. $179^\circ$ → __________________
16. $180^\circ$ → __________________
17. $225^\circ$ → __________________
18. $300^\circ$ → __________________
19. $75^\circ$ → __________________
20. $135^\circ$ → __________________

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C. Find the Missing Angle

21. Two angles form a right angle. One angle is $35^\circ$. Find the other angle.

→ __________

22. Two angles form a straight angle. One angle is $70^\circ$. Find the other angle.

→ __________

23. Two angles form a straight angle. One angle is $125^\circ$. Find the other angle.

→ __________

24. Two complementary angles are $42^\circ$ and $x^\circ$. Find $x$.

→ __________

25. Two supplementary angles are $65^\circ$ and $x^\circ$. Find $x$.

→ __________

26. Two angles add to $90^\circ$. One angle is $28^\circ$. Find the other.

→ __________

27. Two angles add to $180^\circ$. One angle is $145^\circ$. Find the other.

→ __________

28. An angle is split into two parts measuring $40^\circ$ and $x^\circ$. The total angle is $90^\circ$. Find $x$.

→ __________

29. An angle is split into two parts measuring $75^\circ$ and $x^\circ$. The total angle is $180^\circ$. Find $x$.

→ __________

30. Three angles around a point are $80^\circ$, $120^\circ$, and $x^\circ$. Find $x$.

→ __________

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D. Complementary and Supplementary Angles

31. What is the sum of complementary angles?

→ __________

32. What is the sum of supplementary angles?

→ __________

33. Are $35^\circ$ and $55^\circ$ complementary?

→ __________

34. Are $100^\circ$ and $80^\circ$ supplementary?

→ __________

35. Are $40^\circ$ and $60^\circ$ complementary?

→ __________

36. Find the complement of $25^\circ$.

→ __________

37. Find the complement of $67^\circ$.

→ __________

38. Find the supplement of $115^\circ$.

→ __________

39. Find the supplement of $48^\circ$.

→ __________

40. Find the complement of $12^\circ$.

→ __________

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E. Multiple Choice

41. Which angle is acute?

a) $30^\circ$
b) $90^\circ$
c) $120^\circ$
d) $180^\circ$

42. Which angle is obtuse?

a) $45^\circ$
b) $90^\circ$
c) $135^\circ$
d) $180^\circ$

43. A right angle measures:

a) $45^\circ$
b) $90^\circ$
c) $180^\circ$
d) $360^\circ$

44. A straight angle measures:

a) $90^\circ$
b) $120^\circ$
c) $180^\circ$
d) $360^\circ$

45. Which angle is reflex?

a) $60^\circ$
b) $90^\circ$
c) $150^\circ$
d) $240^\circ$

46. What is the complement of $35^\circ$?

a) $45^\circ$
b) $55^\circ$
c) $65^\circ$
d) $145^\circ$

47. What is the supplement of $70^\circ$?

a) $20^\circ$
b) $90^\circ$
c) $110^\circ$
d) $120^\circ$

48. Which pair is complementary?

a) $40^\circ, 50^\circ$
b) $60^\circ, 60^\circ$
c) $80^\circ, 100^\circ$
d) $70^\circ, 120^\circ$

49. Which pair is supplementary?

a) $30^\circ, 60^\circ$
b) $45^\circ, 45^\circ$
c) $100^\circ, 80^\circ$
d) $25^\circ, 55^\circ$

50. Angles around a point add up to:

a) $90^\circ$
b) $180^\circ$
c) $270^\circ$
d) $360^\circ$

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F. Angle Relationships

51. If two angles are complementary and one is $38^\circ$, what is the other?

→ __________

52. If two angles are supplementary and one is $82^\circ$, what is the other?

→ __________

53. Two angles are vertical angles. One measures $75^\circ$. What is the other?

→ __________

54. Two adjacent angles form a straight line. One is $115^\circ$. What is the other?

→ __________

55. Two vertical angles measure $3x^\circ$ and $75^\circ$. Find $x$.

→ __________

56. Two supplementary angles measure $x^\circ$ and $110^\circ$. Find $x$.

→ __________

57. Two complementary angles measure $x^\circ$ and $25^\circ$. Find $x$.

→ __________

58. Three angles on a straight line are $40^\circ$, $60^\circ$, and $x^\circ$. Find $x$.

→ __________

59. Angles around a point are $90^\circ$, $80^\circ$, $70^\circ$, and $x^\circ$. Find $x$.

→ __________

60. Two equal angles form a straight angle. What is the measure of each angle?

→ __________

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G. Challenge Questions

61. An angle is $20^\circ$ more than its complement. Find both angles.

→ ______________________________

62. An angle is $30^\circ$ less than its supplement. Find both angles.

→ ______________________________

63. Two complementary angles are in the ratio $2:3$. Find both angles.

→ ______________________________

64. Two supplementary angles are in the ratio $4:5$. Find both angles.

→ ______________________________

65. Three angles around a point are $2x^\circ$, $3x^\circ$, and $4x^\circ$. Find $x$.

→ __________

66. Four equal angles meet at a point. What is the measure of each angle?

→ __________

67. Two vertical angles are $5x^\circ$ and $100^\circ$. Find $x$.

→ __________

68. Two supplementary angles are $2x^\circ$ and $4x^\circ$. Find $x$ and both angles.

→ ______________________________

69. Two complementary angles are $3x^\circ$ and $2x^\circ$. Find $x$ and both angles.

→ ______________________________

70. An angle measures $125^\circ$. What type of angle is it, and what is its supplement?

→ ______________________________

Answer Key

A. Types of Angles

1. Acute
2. Right
3. Obtuse
4. Straight
5. Reflex
6. Acute
7. Obtuse
8. Acute
9. Obtuse
10. Complete/full angle

B. Classify the Angles

11. Acute
12. Acute
13. Right
14. Obtuse
15. Obtuse
16. Straight
17. Reflex
18. Reflex
19. Acute
20. Obtuse

C. Missing Angles

21. 55°
22. 110°
23. 55°
24. 48°
25. 115°
26. 62°
27. 35°
28. 50°
29. 105°
30. 160°

D. Complementary and Supplementary

31. 90°
32. 180°
33. Yes
34. Yes
35. No
36. 65°
37. 23°
38. 65°
39. 132°
40. 78°

E. Multiple Choice

41. a) 30°
42. c) 135°
43. b) 90°
44. c) 180°
45. d) 240°
46. b) 55°
47. c) 110°
48. a) 40°, 50°
49. c) 100°, 80°
50. d) 360°

F. Angle Relationships

51. 52°
52. 98°
53. 75°
54. 65°
55. 25
56. 70°
57. 65°
58. 80°
59. 120°
60. 90° each

G. Challenge Questions

61. 35° and 55°
62. 75° and 105°
63. 36° and 54°
64. 80° and 100°
65. x=40x=40
66. 90°
67. x=20x=20
68. x=30x=30; angles are 60° and 120°
69. x=18x=18; angles are 54° and 36°
70. Obtuse; supplement = 55°