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Worksheets

Angle Relationships

Total questions: 17

Worksheet time: 1hrs 25mins

Name
Class
Date
1.

Find the missing Measure in each figure

a)

112

b)

68

c)

22

d)

248

2.

Find the Missing measure

a)

68

b)

22

c)

112

d)

158

3.

Find the missing angle

a)

65

b)

34

c)

56

d)

66

4.

Find the missing angles

a)

x=137, y=43, z=137

b)

x=137, y=137, z=43

c)

x=43, y=43, z=133

d)

x=137, y=43, z=43

5.

Find the missing angles

a)

x=108, y=72, z=18

b)

x=72, y=72, x=18

c)

x=108, y=72, z=108

d)

x=72, y=108, z=18

6.

 1\angle1  and  2\angle2  are vertical angles. If the measure of  2\angle2  is 105°105\degree  , find the measure of  1\angle1  .

a)

105

b)

100

c)

75

7.

 A\angle A  and  B\angle B  are complementary angles. If the measure of  A\angle A  is  42°42\degree  , Find the measure of  B\angle B  

a)

48

b)

42

c)

138

d)

90

8.

 P\angle P  and  Q\angle Q  are supplementary angles. If the measure of  Q\angle Q  is  64°64\degree  , Find the measure of  P\angle P  

a)

116

b)

64

c)

26

d)

180

9.

 A\angle A  and B\angle B  form a linear pair. If the measure of  1\angle1  is  133°133\degree  , find the measure of  2\angle2  

a)

47

b)

113

c)

180

d)

57

10.

If mPQT=3x+47m\angle PQT=3x+47  and  mSQR=6x25m\angle SQR=6x-25  find the measure of  SQR\angle SQR  

a)

24

b)

119

c)

72

d)

61

11.

If  ABCD\overline{AB}\perp\overline{CD}  ,  mDCE=7x+2m\angle DCE=7x+2  and  mECB=x+8m\angle ECB=x+8  find the measure of  DCE\angle DCE  

a)

10

b)

72

c)

70

d)

80

12.

If  mKNM=8x5m\angle KNM=8x-5  and  mMNJ=4x19m\angle MNJ=4x-19  find the measure of  KNM\angle KNM  

a)

131

b)

17

c)

139

d)

204

13.

If   mDEG=5x4m\angle DEG=5x-4  , mGEF=7x8m\angle GEF=7x-8  , mDEH=9y+5m\angle DEH=9y+5  , find the values of x and y

a)

X=16, Y=11

b)

X=14, Y=11

c)

X=14, Y=13

d)

X=16, Y=13

14.

 R\angle R  and  S\angle S  are complementary angles. If the  mR=12x3 m\angle R=12x-3\   and  mS=7x2m\angle S=7x-2  , find  mRm\angle R  .

a)

5

b)

57

c)

33

d)

90

15.

 P\angle P  and  Q\angle Q  are Supplementary angles. If the  mP=4x+1m\angle P=4x+1  and  mQ=9x3m\angle Q=9x-3  , find  mQm\angle Q  .

a)

14

b)

123

c)

60

d)

57

16.

 1\angle1  and  2\angle2  form a linear pair. The   m2m\angle2  is six more than twice the measure of   1\angle1  , find  m2m\angle2  .

a)

58

b)

122

c)

28

d)

62

17.

 J\angle J  and  K\angle K  are complementary angles. The   mJm\angle J  is 18 less than the measure of   K\angle K  , find the measures of both angles 

a)

K=54, J=36

b)

K=81, J= 99

c)

K=58, J=32

d)

K=17, J=73