Mathematics
In the adjoining figure, O is the mid-point of AB. If ∠ACO = ∠BDO, then ∠OAC is equal to
∠OCA
∠ODB
∠OBD
∠BOD
Triangles
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Answer
In △AOC and △BOD,
AO = OB (As O is the mid-point of AB.)
∠ACO = ∠BDO (Given)
∠AOC = ∠BOD (Vertically opposite angles)
Hence, △AOC ≅ △BOD by AAS axiom.
We know that corresponding parts of congruent triangles are equal.
∴ ∠OAC = ∠OBD.
Hence, Option 3 is the correct answer.
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