Download CHALLENGE AND EXTEND SPIRAL REVIEW

Determine whether each statement is true or false. If false, explain why.
34. If an angle is acute, then its complement must be greater than its supplement.
35. A pair of vertical angles may also form a linear pair.
36. If two angles are supplementary and congruent, the measure of each angle is 90°.
37. If a ray divides an angle into two complementary angles, then the original angle
is a right angle.
38. Write About It Describe a situation in which two angles are both congruent and
complementary. Explain.
39. What is the value of x in the diagram?
15
45
30
90
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40. The ratio of the measures of two complementary angles is 1 : 2. What is the measure
of the larger angle? (Hint: Let x and 2x represent the angle measures.)
30°
45°
60°
120°
41. m∠A = 3y, and m∠B = 2m∠A. Which value of y makes ∠A supplementary to ∠B?
10
18
20
36
42. The measures of two supplementary angles are in the ratio 7 : 5. Which value is the
measure of the smaller angle? (Hint: Let 7x and 5x represent the angle measures.)
37.5
52.5
75
105
CHALLENGE AND EXTEND
43. How many pairs of vertical angles are in the diagram?
44. The supplement of an angle is 4 more than twice
its complement. Find the measure of the angle.
45. An angle’s measure is twice the measure of its complement.
The larger angle is how many degrees greater than the smaller angle?
46. The supplement of an angle is 36° less than twice the supplement of the
complement of the angle. Find the measure of the supplement.
SPIRAL REVIEW
Solve each equation. Check your answer. (Previous course)
47. 4x + 10 = 42
48. 5m - 9 = m + 4
49. 2(y + 3) = 12
50. -(d + 4) = 18
Y is between X and Z, XY = 3x + 1, YZ = 2x - 2, and XZ = 84. Find each of
the following. (Lesson 1-2)
51. x
52. XY
53. YZ
XY
 bisects ∠WYZ. Given m∠WYX = 26°, find each of the following. (Lesson 1-3)
54. m∠XYZ
55. m∠WYZ
1- 4 Pairs of Angles
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