On comparing the given angles in the figure by superimposition. (a) $\angle A O B$ is greater because size of $\angle A O B$ is greater than size of $\angle X O Y$. (b) $\angle A O B$ is greater because size of $\angle A O B$ is greater than size of $\angle X O B$. (c) $\angle X O B$ and $\angle X O C$ both are equal angle because vertex $O$ and one ray $\overrightarrow{O X}$ are common and $\operatorname{arm} \overrightarrow{O B}$ and $\overrightarrow{O C}$ are overlaping.
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