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Answer: [tex]\triangle COA \cong \triangle DOB[/tex] by the rule ASA
Step-by-step explanation:
[tex]\overline{CO} \cong \overline{OD}[/tex] (given)
[tex]\angle ACO \cong \angle ODB[/tex] (given)
[tex]\angle COA \cong \angle BOD[/tex] (vertical angles)
So, [tex]\triangle COA \cong \triangle DOB[/tex] by the rule ASA.