Mathematics
In the adjoining figure, AC = BD. If ∠CAB = ∠DBA, then ∠ACB is equal to
∠BAD
∠ABC
∠ABD
∠BDA
Triangles
ICSE
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Answer
In △CAB and △DBA,
AC = DB (Given)
AB = AB (Common)
∠CAB = ∠DBA (Given)
Hence, △CAB ≅ △DBA by SAS axiom.
We know that corresponding parts of congruent triangles are equal.
∴ ∠ACB = ∠BDA.
Hence, Option 4 is the correct answer.
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