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Proof: Distance is Greater Than Distance 2
Let's prove the following theorem:
if m∠
B
A
C
> m∠
C
D
B
, then m∠
C
A
B
> m∠
C
D
B
A
D
C
B
Proof:
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Try proving it
Given
1
m∠
B
A
C
>
m∠
C
D
B
Proof Table
#
Claim
Reason
1
m∠
B
A
C
=
m∠
C
A
B
m∠
B
A
C
=
m∠
C
A
B
(Angle Symmetry Property)
2
m∠
C
A
B
>
m∠
C
D
B
if
m∠
B
A
C
>
m∠
C
D
B
and
m∠
B
A
C
=
m∠
C
A
B
, then
m∠
C
A
B
>
m∠
C
D
B
(Transitive Property of Inequality 4)
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