7.G.5 [552016]StudentClassDate

1. Two angles are supplementary. If one angle measures 72°, what is the measure of the other angle?

A. 18°

B. 72°

C. 108°

D. 144°

2. In the figure below, ∠PQS measures 60°.

What is the measure of ∠SQT?

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A. 30°

B. 40°

C. 50°

D. 60°

3. A parallelogram is shown below.

What is the measure of angle X?

A.  18°

B.  72°

C. 108°

D. 144°

4. In this figure, line EG intersects line FH at point J.

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What is the measure of  ?

A.   17°

B.   37°

C.   58°

D.   82°

5. In parallelogram WZYX, ° and °.

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What is the measure of  ?

A.   35°

B.   75°

C.   79°

D.   105°

6. In the figure below, ∠JKM and ∠MKL are supplementary.

What is the value of x?

A. 25

B. 35

C. 75

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7. In the figure below, points P, Q, and R are on a straight line. Angle RQV and ∠VQT are complementary.

What is the measure of ∠PQS?

A. 25°

B. 40°

C. 50°

D. 75°

8. Line m passes through one vertex of a square. Four angles are formed by this intersection.

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If  °,  what is  ?

A.   108

B.   126

C.   144

D.   162

9. In the figure below, ∠PQR is 180°.

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What is the measure of ∠SQT?

A. 55°

B. 75°

C. 110°

10. In the figure below, ∠LMR measures 120°.

What is the measure of ∠PMQ?

A. 30°

B. 40°

C. 50°

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D. 60°

11. ∠JKM and ∠MKL are supplementary.

What is the measure of ∠MKL?

A. 100°

B. 105°

C. 108°

D. 111°

12. In the figure below, ∠KLP is a right angle. ∠NLO and ∠OLP are congruent angles.

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What is the measure of ∠OLP?

A. 52°

B. 45°

C. 30°

D. 26°

13. Angle measures are shown in the figure.

What is the difference in the measures of angle WVX and angle WXV?

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A. 26°

B. 31°

C. 33°

D. 57°

14. The sum of the measures of the three interior angles of any triangle is always 180°. The unmarked angles of the triangle below total 150°.

What is the measure of an angle that would be complementary to 

A. 30°

B. 60°

C. 90°

D. 150°

15. In the figure below, intersects at point Q and °  and°.

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What is  ?

A.   49°

B.   59°

C.   62°

D.   121°

16. In the figure below, angle PQS is 105°.

What is the measure of angle PQR?

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A. 70°

B. 65°

C. 55°

17. In the diagram below, the measure of  is 5 times as large as the measure of

What is the measure of angle

A. 60°

B. 120°

C. 144°

D. 150°

18. Figure EFGH is a parallelogram.

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What is the measure of angle G?

A. 60°

B. 100°

C. 120°

19. Figure WXYZ is a parallelogram.

What is the measure of angle X?

A. 115°

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B. 100°

C. 80°

D. 65°

20. Line WZ and line XY intersect in the figure below.

What is the measure of ∠XEZ?

A. 127°

B. 117°

C. 63°

D. 27°

21. Look at the figure below.

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What is the value of x?

A. 19°

B. 22°

C. 67°

D. 71°

22. In the diagram,  is twice   , 39° , and  intersect at point H, and .

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Part A  What is ? Show or explain your work.

Part B  What is ?    Show or explain your work.

Part C  What is ?  Show or explain your work.

23. ∠WXZ and ∠ZXY are complementary angles. ∠WXZ is four times larger than ∠ZXY. What is the measure of ∠WXZ?

A. 18°

B. 23°

C. 72°

D. 90°

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24. In the figure below, all lines intersect at point M. Angles GMH and HMI are congruent.

What is the measure of angle KMI?

A. 136°

B. 132°

C. 92°

D. 44°

25. Which equation represents x, the difference between and in this diagram?

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A.

B.

C.

D.

26. Two angles are supplementary. The measure of one angle is 4 times the measure of the other angle. What is the measure of the smaller angle?

A. 144°

B. 80°

C. 72°

D. 36°

27. In the figure below, line PS is perpendicular to line UR.

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What is the measure of ∠PVQ?

A. 25°

B. 45°

C. 68°

D. 72°

28.

In the figure below, ∠GFH measures 96°.

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What is the measure of ∠EFH?

A. 32°

B. 48°

C. 64°

D. 84°

29. In the figure below, what is the measure of ∠ PQR?

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A.  45°

B.  60°

C. 120°

D. 135°

30. The figure below is a parallelogram.

What is the value of x?

A. 9

B. 27

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C. 36

31. What is the in the figure below?

A. 36°

B. 60°

C. 72°

D. 108°

32. In the figure below, ∠JKM and ∠MKL are complementary.

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What is the measure of ∠JKM?

A. 52°

B. 48°

C. 38°

33. Each of the four figures given shows line q and line r with a ray extending from their intersection. In which figure does  °?

A.

  

B.

  

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C.

  

D.

  

34. The larger of two complementary angles is 10 degrees more than the smaller angle. What is the degree measure of the larger angle?

A. 40°

B. 50°

C. 85°

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D. 95°

35. The measure of is twice the measure of

What is the measure of

A. 30°

B. 60°

C. 100°

D. 120°

36. In the figure below, ∠OQP is a right angle.

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What is the measurement of ∠LQM?

A. 19°

B. 22°

C. 31°

D. 38°

37. The vertex of an isosceles triangle is an angle of 50°, as shown below.

What is the measurement of one of the other two angles?

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A. 40°

B. 65°

C. 75°

D. 130°

38. Line ST is perpendicular to line PR.

What is the measure of ∠SQU?

A.  32°

B.  58°

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C.  90°

D. 148°

39. What is the value of x in the figure below?

A. 11

B. 25

C. 36

40. In the figure below, ∠EFH and ∠HFG are supplementary.

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What is the measure of ∠HFG?

A. 60°

B. 100°

C. 120°

41. Two lines intersect in the figure below.

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What is the value of x?

A. 17

B. 20

C. 24

D. 89

42. The map shows intersections of 4 streets. Jackson Avenue and Jefferson Street are straight lines. Jefferson Street and Washington Boulevard intersect at a right angle.

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 Part A  What is the measure of the angle formed by Washington Boulevard and Jackson Avenue NE?

Part B  What is the measure of the obtuse angle formed by Jefferson Street and Jackson Avenue SW?Part C  What is the measure of the angle formed by Jackson Avenue SW and Lincoln Avenue?

43.Angles 1 and 2 are supplementary. Angle 2 is the size of angle 1. What are the degree measurements of each angle?

A. ∠1 = 15° and ∠2 = 75°

B. ∠1 = 150° and ∠2 = 30°

C. ∠1 = 18° and ∠2 = 90°

D. ∠1 = 30° and ∠2 = 150°

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44. In the figure below, ∠QRT and ∠SRV are complementary.

What is the measure of ∠QRT?

A. 35°

B. 40°

C. 45°

D. 50°

45. In the diagram, line GH is perpendicular to line IJ.

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What is the measure of angle 1?

A. 37°

B. 53°

C. 63°

D. 74°

46. In the figure below, line JM is perpendicular to ray LP.

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What is the measure of angle NLP?

A. 25°

B. 35°

C. 45°

D. 55°

47. In the figure below, ∠1 measures (3x + 20)° and ∠2 measures x°.

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What is the measure of ∠4?

A.  40°

B.  60°

C. 120°

D. 140°

48. What is the value of x in the figure below?

A.

B.

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C.

D.

49. Angle RST is a right angle.

What is the measure of

A. 27°

B. 36°

C. 63°

D. 81°

50. A student uses this figure to find .

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The student first finds . Why does finding  help the student find  ?

A.     and  are adjacent angles and they add up to 90.

B.     and  are vertical angles and they add up to 90.

C.     and  are adjacent angles and they are equal.

D.     and  are vertical angles and they are equal.

51. Look at the rectangle below.

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The sum of the measures of the 3 interior angles of any triangle is always 180°. What is the measure of

A. 30°

B. 45°

C. 60°

D. 120°

52. What is the value of x in the figure below?

A. 27

B. 30

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C. 32

D. 95

53. In the figure below, ∠PQT measures (2x + 12)°.

What is the measure of ∠PQS?

A. 62°

B. 56°

C. 50°

D. 40°

54. William is making a kite. The top interior angle is 85°, and the bottom interior angle is 55°. The side angles are congruent.

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What is the measure of each side angle?

A. 20°

B. 70°

C. 110°

D. 220°

55. In the figure below, ∠VWY is supplementary to ∠XWZ.

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What is the measure of ∠VWZ?

A. 36°

B. 54°

C. 126°

56. In the figure below, ∠GLH and ∠KLJ are vertical angles.

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Which is the measure of ∠GLK?

A. 58°

B. 62°

C. 64°

D. 87°

57. In the figure below, what is the measure of ∠x?

A. 30°

B. 60°

C. 70°

D. 90°

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58. In the figure below, ray TX is perpendicular to line WY.

What is the measure of ∠TXZ?

A. 25°

B. 30°

C. 35°

59. In the image below, ∠EFG is a right angle.

What is the value of x?

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A. 78

B. 72

C. 42

D. 36

60. In the figure below, ∠1 measures x° and ∠2 measures 5x°.

What is the measure of ∠1?

A. 20°

B. 30°

C. 36°

D. 45°

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61. Angle DHE and angle EHF are supplementary.

What is the measure of angle FHG?

A. 25°

B. 45°

C. 70°

D. 110°

62. A diagram is shown.

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What is the measure of angle ZXV?

A. 68°

B. 94°

C. 112°

D. 138°

63. First Street and Main Street come together diagonally at a four-way intersection, as shown below.

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The measurement of the angle between West First Street and North Main Street is 30° less than the measurement of the angle between West First Street and South Main Street. What is the measurement of the angle between North Main Street and East First Street?

A. 60°

B. 75°

C. 90°

D. 105°

64. In the figure below, all lines intersect at point M.

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What is the measure of ∠GML?

A. 60°

B. 65°

C. 75°

D. 85°

65. In the figure below, ∠JKM and ∠MKN are complementary.

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What is the measure of ∠NKP?

A. 30°

B. 50°

C. 60°

D. 90°

66. In the figure below, ∠EFH and ∠HFG are supplementary.

What is the measure of ∠EFH?

A. 100°

B. 114°

C. 135°

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D. 144°

67. Part AThe degree measures of a pair of supplementary angles are expressed as

What is the measure of the larger angle? Show your work or explain how you got your answer.Part BTwo angles are supplementary and the measures of both angles are written as expressions in terms of x. Write an expression for the mean of the two angles in terms of x. Explain whether or not it is possible for the mean of the angle measures to be greater than 100.

68. Line HJ and line LK intersect in the figure below.

What is the measure of ∠LMJ?

A. 25°

B. 60°

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C. 75°

D. 80°

69. In the figure below,  extends from .

What is  ?

A.   45°

B.   81°

C.   87°

D.   99°

70. In this figure, three lines intersect at one point.

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Which angles have a measure of 70?

A.     and

B.     and

C.     and

D.     and

71. In the figure below, line QR and line segment ST are perpendicular. Angle TSUmeasures 30°.

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What is the measure of ∠USR?

A. 60°

B. 90°

C. 120°

D. 150°

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