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Transitive Property of Equality Variation 2
Angle Symmetry Example 2
Collinear Angles Property 10
Collinear Angles Property 3
Collinear Angles Property 3 B
Collinear Then Equal
Proof: Collinear Angles Property 3 B
Let's prove the following theorem:
if m∠
A
B
C
=
180
, then m∠
X
A
C
= m∠
X
A
B
A
C
B
X
Proof:
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Given
1
m∠
A
B
C
=
180
Proof Table
#
Claim
Reason
1
m∠
C
B
A
=
180
if
m∠
A
B
C
=
180
, then
m∠
C
B
A
=
180
(Angle Symmetry Example 2)
2
m∠
X
A
C
=
m∠
X
A
B
if
m∠
C
B
A
=
180
, then
m∠
X
A
C
=
m∠
X
A
B
(Collinear Angles Property 3)
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