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It is given that ∠BAD=∠EAC
It is given that ∠BAD=∠EAC∠BAD+∠DAC=∠EAC+∠DAC [add ∠DAC on both sides]
It is given that ∠BAD=∠EAC∠BAD+∠DAC=∠EAC+∠DAC [add ∠DAC on both sides]∴∠BAC=∠DAE
It is given that ∠BAD=∠EAC∠BAD+∠DAC=∠EAC+∠DAC [add ∠DAC on both sides]∴∠BAC=∠DAEIn △BAC and △DAE
It is given that ∠BAD=∠EAC∠BAD+∠DAC=∠EAC+∠DAC [add ∠DAC on both sides]∴∠BAC=∠DAEIn △BAC and △DAEAB=AD (Given)
It is given that ∠BAD=∠EAC∠BAD+∠DAC=∠EAC+∠DAC [add ∠DAC on both sides]∴∠BAC=∠DAEIn △BAC and △DAEAB=AD (Given)∠BAC=∠DAE (Proved above)
It is given that ∠BAD=∠EAC∠BAD+∠DAC=∠EAC+∠DAC [add ∠DAC on both sides]∴∠BAC=∠DAEIn △BAC and △DAEAB=AD (Given)∠BAC=∠DAE (Proved above)AC=AE (Given)
It is given that ∠BAD=∠EAC∠BAD+∠DAC=∠EAC+∠DAC [add ∠DAC on both sides]∴∠BAC=∠DAEIn △BAC and △DAEAB=AD (Given)∠BAC=∠DAE (Proved above)AC=AE (Given)∴△BAC≅△DAE (By SAS congruence rule)
∴BC=DE (By CPCT)
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