Geo 4.2: Angle Relationships
1. Given the following diagram of ∆CDB.      Find the measure of the exterior angle ∡ABC
m ∡ABC= 
A
xo
o
B
52o
C
D
2. Given the following diagram of ∆CDB.      Find the m ∡DCB.
m∡DCB =
C
xo
o
60o
D
B
112o
A
3. Given the following diagram of ∆CDB.      Find the m∡BCD.
m∡BCD =
A
139o
o
B
xo
C
D
4. Given the following diagram of ∆CDB.      Find the value of x.    Then find the measure    of the exterior angle ∡ACD
x = 
(2x + 16)o
A
m∡ACD = 
C
58o
D
o
B
(x + 12)o
5.  One acute angle in a right triangle measures
     42 degrees.  What is the measure of the 
     other acute angle?
degrees
6.  One acute angle in a right triangle measures     72.5 degrees.  What is the measure of the      other acute angle?
degrees
7.  What theorem would tell us that ∡A≅∡D?
Exterior angles theorem
Third angles theorem
Triangle sum theorem
Corresponding angles 
    postulate
8.  The angles of a triangle are in the ratio of 2:8:10.     What is the value of x and what is the      measure of the SMALLEST angle?
x = 

smallest angle = 
degrees
10.  Find the value of x and then find m∡F.
F
x = 

m∡F = 
x+8
degrees
3x
T
I
Which correct equation can be written using the
information in the diagram below.
∡5 + ∡4 = ∡2
∡5 + ∡8 = ∡2
∡8 + ∡4 = ∡2
∡5 + ∡8 = ∡4 + ∡2
A
8
B
5
4
C
2
D
Find the measure of each 
interior angle.
∡A =
∡B = 
∡C =
º
º
º
A
7x
4x
C
7x
B
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