Q. 24.8( 4 Votes )

Prove that any ex

Answer :



Given : A cyclic quadrilateral ABCD one of whose side AB is produced to E.
Prove that :
CBE = ADC
Proof:


ABC + ADC = 180° [Opposite angles of cyclic quadrilateral]


ABC + CBE = 180° [Linear Pair angles.]


ABC + ADC = ABC + CBE [From the above equations,]


ADC = CBE [Subtraction property]


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