Which Article of the Indian Constitution mentions about the right of the Advocate-General of a state to speak in the State Legislature?

The correct option is Article 177.

Step-by-step Explanation:

1. Article 177 of the Indian Constitution:
Article 177 specifies the rights of Ministers and the Advocate-General for a State with respect to the Houses of the State Legislature.
Under this Article, the Advocate-General of a State has the right to speak in, and take part in the proceedings of, the Legislative Assembly (and the Legislative Council in bicameral states), as well as any committee of the State Legislature of which they may be named a member. However, virtue of this Article does not grant them the right to vote in the legislature.

2. Overview of the Other Articles Mentioned:
• Article 179: Pertains to the vacation, resignation, and removal of the Speaker and Deputy Speaker of the Legislative Assembly.
• Article 181: States that the Speaker or Deputy Speaker shall not preside while a resolution for their removal is under consideration.
• Article 183: Pertains to the vacation, resignation, and removal of the Chairman and Deputy Chairman of the Legislative Council.