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```Name________________________
FINDING UNKNOWN ANGLE MEASURES—CONGRUENT ANGLES--#4
Directions: Find the measure of each missing angle in the parallel lines and transversals below. Each pair of angles
are either vertical angles, alternate angles, or corresponding angles, so they are congruent. All you have to do is set
up and solve an equation where the expressions are congruent. Once you’ve solved for x, plug that value back into
each expression to find the measure of each angle.
C
C
4x
A
1)
D
B
2)
2x+30
6x
E
E
H
F
2x+92
Equation: _________________________________
∠ABC = ________
H
F
G
G
x = ______
D
B
A
∠DBG = ________
Equation: _________________________________
∠EFB = ________
x = ______
∠GFH = ________
C
A
E
C
B 5x
10x B
3) A
4)
E
D
5x+40 F
F 4x+19
G
D
H
G
H
Equation: _________________________________
x = ______
∠ABC = ________
∠AFE = ________
Equation: _________________________________
∠CBD = ________
x = ______
C
5)
A
C
D
B
E
10x
H
G
Equation: _________________________________
x = ______
∠GFH = ________
A
B
E
F
9x
G
D
6)
3x+49
F
∠CFH = ________
∠GBD = ________
6x+30
H
Equation: _________________________________
x = ______
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∠EFG = ________
∠CFH = ________
```