Question

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Answer 1

Given-: angle ECD = angle DCB
To prove-: angle ADC = angle ACD
Proof-: As we know that angle ADC = angle DBC + angle DCB...........(1) [Exterior angle property]
and as we know that angle ACD = angle ACE + angle ECD................(2)
As angle ACE = angle DBC (Given)
and angle ECD = angle DCB (Given)
now putting values of 2 in 1
so angle ADC = angel ACD [Hence proved]
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