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Angles and Angle Measures

Total questions: 15

Worksheet time: 26mins

Name
Class
Date
1.

Name the angle form by lines DE and EF in the long form.

a)

∠e

b)

∠f

c)

∠FED

d)

∠FDE

2.

∠STU is formed by Lines ______ and ______.

a)

S, T

b)

T, U

c)

SU, TU

d)

ST, UT

3.
Name this angle.
a)
acute
b)
right
c)
obtuse
d)
none of the above
4.
a)
Acute
b)
Right
c)
Obtuse
5.
Which type of angle is pictured?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
6.
What type of angle is this? 
a)
acute
b)
obtuse
c)
right
7.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

8.

Calculate m∠DEF.

a)

180°

b)

60°

c)

120°

d)

80°

9.

If m∠RST = (12x -1)°, m∠RSU = (9x -15)°,

and m∠UST = 53°, find each measure.

a)

x = 13

m∠RST = 155°

m∠RSU = 102°

b)

x = 3

m∠RST = 35°

m∠RSU = 12°

c)

x = 22

m∠RST = 263°

m∠RSU = 183°

d)

x = 8

m∠RST = 95°

m∠RSU = 57°

10.

∠1 and ∠2 form a linear pair.

If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, find the measure of each angle.

a)

m∠1 = 110° and m∠2 = 70°

b)

m∠1 = 109° and m∠2 = 71°

c)

m∠1 = 70° and m∠2 = 110°

d)

m∠1 = 71° and m∠2 = 109°

11.

Solve for x if ∠ABD=x+67\angle ABD=x+67 ,    ∠ABC=104°\angle ABC=104\degree , and  ∠DBC = x+51\angle DBC\ =\ x+51   .

a)

x = 53

b)

x = 37

c)

x = 7

d)

x =  −7-7  

12.

 ∠JKU=3x−9, ∠UKL=138°\angle JKU=3x-9,\ \angle UKL=138\degree  and    ∠JKL=15x−3\angle JKL=15x-3  . Solve for x. 



a)

x = 49

b)

x = 9.4 

c)

x = 11

d)

x = 8.3

13.

 ∠UTS=145°, ∠MTS=114+x\angle UTS=145\degree,\ \angle MTS=114+x , and  ∠UTM=x+33\angle UTM=x+33   Find the measure of  ∠MTS\angle MTS  .



a)

 ∠MTS=−1°\angle MTS=-1\degree  

b)

 ∠MTS=145°\angle MTS=145\degree  

c)

 ∠MTS=113°\angle MTS=113\degree  

d)

 ∠MTS=115°\angle MTS=115\degree  

14.

 ∠VNM=x+101, ∠LMV=x+36\angle VNM=x+101,\ \angle LMV=x+36  and  ∠LMN=129°\angle LMN=129\degree  . Find  m∠LMVm\angle LMV  



a)

 ∠LMV=32°\angle LMV=32\degree  

b)

 ∠LMV=40°\angle LMV=40\degree  

c)

 ∠LMV=−4°\angle LMV=-4\degree  

d)

 ∠LMV=4°\angle LMV=4\degree  

15.

Find  ∠IJY\angle IJY  if  ∠IJK=122°, ∠IJY=14x+2\angle IJK=122\degree,\ \angle IJY=14x+2  and  ∠YKJ=26x\angle YKJ=26x  .

a)

 ∠IJY=3°\angle IJY=3\degree  

b)

 ∠IJY=6°\angle IJY=6\degree  

c)

 ∠IJY=86°\angle IJY=86\degree  

d)

 ∠IJY=44°\angle IJY=44\degree