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1.5 Angle Relationships

Total questions: 18

Worksheet time: 5hrs 30mins

Name
Class
Date
1.

Name the relationship between the angles.

SELECT ALL THAT APPLY.

a)

Complementary

b)

Linear Pair

c)

Vertical

d)

Supplementary

e)

Adjacent

2.

Name the relationship between the angles.

SELECT ALL THAT APPLY.

a)

Complementary

b)

Linear Pair

c)

Vertical

d)

Supplementary

e)

Adjacent

3.

Name the relationship between the angles.

SELECT ALL THAT APPLY.

a)

Complementary

b)

Linear Pair

c)

Vertical

d)

Supplementary

e)

Adjacent

4.

Name the relationship between the angles.

SELECT ALL THAT APPLY.

a)

Complementary

b)

Linear Pair

c)

Vertical

d)

Supplementary

e)

Adjacent

5.

Find the measure of angle b.

a)

36°36\degree

b)

54°54\degree

c)

46°46\degree

d)

128°128\degree

6.

Find the measure of angle b.

a)

106°106\degree

b)

28°28\degree

c)

96°96\degree

d)

118°118\degree

7.

Find the measure of angle b.

a)

82°82\degree

b)

8°8\degree

c)

130°130\degree

d)

172°172\degree

8.

Find the value of x.

a)

19

b)

13

c)

7

d)

15

9.

Find the value of x.

a)

18

b)

22

c)

20

d)

21

10.

Find the value of x.

a)

20

b)

12

c)

17

d)

14

11.

If  m∠FGE = 5x + 10m\angle FGE\ =\ 5x\ +\ 10 , find the value of x so that  F←C→⊥A←E→\overleftarrow{F}\overrightarrow{C}\perp\overleftarrow{A}\overrightarrow{E}   



(a)  

12.

If  m∠BGC = 16x − 4m\angle BGC\ =\ 16x\ -\ 4 and  m∠CGD = 2x + 13m\angle CGD\ =\ 2x\ +\ 13 ,  find the value of x so that  ∠BGD\angle BGD  is a right angle.  Round to the nearest tenth if necessary. EX: 7.6



(a)  

13.

If  m∠RTS = 8x + 18m\angle RTS\ =\ 8x\ +\ 18 , find the value of x so that  TR→⊥TS→\overrightarrow{TR}\perp\overrightarrow{TS} . 



(a)  

14.

If  m∠PTQ = 3y − 10m\angle PTQ\ =\ 3y\ -\ 10 and  m∠QTR = ym\angle QTR\ =\ y , find the value of y so that  ∠PTR\angle PTR is a right angle. 



(a)  

15.

Determine whether the statement can be assumed from the figure. Submit your reasoning on the page of work you will upload.
Statement:  ∠WZU\angle WZU   is a right angle.

a)

Yes

b)

No

16.

Determine whether the statement can be assumed from the figure. Submit your reasoning on the page of work you will upload.
Statement:  ∠YZU\angle YZU and  ∠UZV\angle UZV  are supplementary.

a)

Yes

b)

No

17.

Find the value of x

(a)  

18.

Find  m∠PQSm\angle PQS  



(a)