115º Solution: $\angle\text{AOC}+\angle\text{BOD}=1306^\circ$ (given) But $\angle\text{AOC}=\angle\text{BOD}$ (Vartically Opposite angles) $\Rightarrow2\angle\text{AOC}=130^\circ$ $\Rightarrow\angle\text{AOC}=65^\circ$ Since COD is a straight line, $\angle\text{AOC}+\angle\text{AOD}=180^\circ$ $\Rightarrow65^\circ+\angle\text{AOD}=180^\circ$ $\Rightarrow\angle\text{AOD}=115^\circ$
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