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Angle Bisector + Angle addition

Total questions: 12

Worksheet time: 3hrs 0mins

Name
Class
Date
1.

Angle JHG measures 161.

a)

m∠GHK=80.5,

m∠KHJ=161

b)

m∠GHK=161,

m∠KHJ=80.5

c)

m∠GHK=80.5,

m∠KHJ=80.5

d)

m∠GHK=161,

m∠KHJ=161

2.
Find the value of ∠A.
a)
25 degrees
b)
30  degrees
c)
35 degrees
d)
90 degrees
3.
Find the value of ∠A.
a)
39 degrees
b)
49 degrees
c)
51 degrees
d)
59 degrees
4.
A single angle that measures between 90 and 180 degrees.
a)
Obtuse Angle
b)
Acute Angle
c)
Right Angle
d)
Linear Pair
5.
A single angle that measures between 0 and 90 degrees.
a)
Obtuse Angle
b)
Acute Angle
c)
Right Angle
d)
Adjacent Angles
6.

Find x.

a)

−3-3

b)

−6-6

c)

−8-8

d)

−10-10

7.
a)

44

b)

−3-3

c)

−5-5

d)

99

8.
a)

−2°-2\degree

b)

178°178\degree

c)

10°10\degree

d)

152°152\degree

9.
a)

85°85\degree

b)

131°131\degree

c)

90°90\degree

d)

149°149\degree

10.

 EJ→ \overrightarrow{EJ}\   bisects  ∠DEF\angle DEF ,  m∠DEJ=5x+7m\angle DEJ=5x+7  ,  m∠JEF=8x−8m\angle JEF=8x-8 .
Find x.

a)

5

b)

2

c)

6

d)

13

11.

 BD→\overrightarrow{BD}  bisects  ∠ABC\angle ABC  ,  m∠ABD=5(x−6)m\angle ABD=5\left(x-6\right)   and  m∠DBC=2x+9m\angle DBC=2x+9 . Find  m∠DBCm\angle DBC . 

a)

 35°35\degree  

b)

 27°27\degree  

c)

 11°11\degree  

d)

 15°15\degree  

12.

 BD→\overrightarrow{BD}  bisects ∠ABC\angle ABC ,  m∠ABD=3x+5m\angle ABD=3x+5  and  m∠ABC=2x+30m\angle ABC=2x+30 . Find  m∠DBCm\angle DBC  . 

a)

 15°15\degree  

b)

 35°35\degree  

c)

 5°5\degree  

d)

 20°20\degree