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Given,
BC = CD
Angle BCA = Angle DCA
To prove,
Angle BAC is congruent to angle DAC
Proof
In ∆BAC and ∆DAC,
BC = CD (given)
Angle BCA = Angle ACD (given)
AC = AC (common)
∆BAC congruent to ∆DAC ( SAS congruence rule)
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