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ASABCDEFPQR
EAABCabc
EADEFdef
ASabcdefpqr
ANEAABCPQS+EADEFSQR+BEPSR  defn:anglesum
ANEAabcpqs+EAdefsqr+BEpsr  defn:anglesum
EAABCPQS
EADEFSQR
BEPSR
EAabcpqs
EAdefsqr
NCPQS lemma:equalanglesNC
NCSQR   lemma:equalanglesNC
NEQP  lemma:NCdistinct
NEQS  lemma:NCdistinct
NEQR lemma:NCdistinct
NCpqs  lemma:equalanglesNC
NCsqr  lemma:equalanglesNC
NEqp  lemma:NCdistinct
NEqr  lemma:NCdistinct
NEqs  lemma:NCdistinct
ANRAqpG+EEqGQP  lemma:layoff
RAqpG
ANRAqsH+EEqHQS  lemma:layoff
RAqsH
ANRAqrK+EEqKQR lemma:layoff
RAqrK
EEqKQR
EAPQSABC  lemma:equalanglessymmetric
EAPQSabc  lemma:equalanglestransitive
EAPQSpqs  lemma:equalanglestransitive
EAPQSGqH  lemma:equalangleshelper
EASQRDEF  lemma:equalanglessymmetric
EASQRdef  lemma:equalanglestransitive
EASQRsqr  lemma:equalanglestransitive
EASQRHqK  lemma:equalangleshelper
NCGqH  lemma:equalanglesNC
EEqGQP   
EEqHQS   
EAGqHPQS  lemma:equalanglessymmetric
ANEEGHPS+EAqGHQPS+EAqHGQSP  proposition:04
EEGHPS
EAqHGQSP 
EAHqKSQR  lemma:equalanglessymmetric
ANEEHKSR+EAqHKQSR+EAqKHQRS  proposition:04
EEHKSR
EAqHKQSR
EAGHqPSQ  lemma:equalanglesflip
EQQQ  cn:equalityreflexive
NESQ  lemma:NCdistinct
RASQQ   lemma:ray4
SUPSQQR   defn:supplement
RTGHqqHK  defn:tworightangles
BEpsr
COqsH  lemma:rayimpliescollinear
COqHs  lemma:collinearorder
NCGqH 
COqpG  lemma:rayimpliescollinear 
COGqp  lemma:collinearorder
EQqq   cn:equalityreflexive
COGqq  defn:collinear
NEqp  lemma:ray2
NEpq   lemma:inequalitysymmetric
NCpqH  lemma:NChelper
NCqHp  lemma:NCorder
OSpqHr defn:oppositeside
OSrqHp  lemma:oppositesidesymmetric
COqHq  defn:collinear
RAqKr  lemma:ray5
OSKqHp lemma:9.5
OSpqHK  lemma:oppositesidesymmetric
RAqGp  lemma:ray5
OSGqHK  lemma:9.5
OSKqHG  lemma:oppositesidesymmetric
NEqH lemma:raystrict
NEHq  lemma:inequalitysymmetric
RAHqq  lemma:ray4
BEGHK  proposition:14
EEGKPR    cn:sumofparts
EEqGQP
EEqKQR
EQPP  cn:equalityreflexive
EQRR  cn:equalityreflexive
RAQPP  lemma:ray4
RAQRR  lemma:ray4
NCPSQ  lemma:NCorder
COPSR  defn:collinear
EQPP   cn:equalityreflexive
COPSP  defn:collinear
NEPR   lemma:betweennotequal
NCPRQ  lemma:NChelper
NCPQR  lemma:NCorder
EEQPqG lemma:congruencesymmetric
EEQRqK lemma:congruencesymmetric
EEPRGK  lemma:congruencesymmetric
EAPQRpqr  defn:equalangles