In the diagram,
m
∠
G
H
C
m
∠
E
I
J
180
.
Complete the proof that
line
C
D
line
E
F
.
Since 
∠
H
I
E
 and 
∠
E
I
J
 form a linear pair, . By the  Property of Equality, 
m
∠
H
I
E
m
∠
E
I
J
m
∠
G
H
C
m
∠
E
I
J
. Then, by the  Property of Equality, . Finally, 
line
C
D
line
E
F
 by the converse of the  Angles Theorem.
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