Question
In figure, a = b = c, name the angle which is congruent to $\angle\text{AOC}$

Answer


We have,
$\angle\text{AOB}=\angle\text{BOC}=\angle\text{COD}$
$\therefore\angle\text{AOB}=\angle\text{COD}$
Also, $\angle\text{AOB}+\angle\text{BOC}=\angle\text{BOC}+\angle\text{COD}$
$\angle\text{AOC}=\angle\text{BOD}$
Hence, $\angle\text{BOD}$ is congruent to $\angle\text{AOC}.$

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