Answer: The correct option is (C). 84.
Step-by-step explanation: We are given to find the value of c in the figure.
We know that,
in a cyclic quadrilateral, the sum of the measures of opposite angles is 180°.
We can see that in the given figure,
the angles with measure c° and 96° are opposite to each other.
Therefore, we get
![c^\circ+96^\circ=180^\circ\\\\\Rightarrow c^\circ=180^\circ-96^\circ\\\\\Rightarrow c^\circ=84^\circ\\\\\Rightarrow c=84.](https://img.qammunity.org/2019/formulas/mathematics/high-school/3kgci3fidt8bsm5a281g93qarv708u8wmx.png)
Thus, the required value of c is 84.
Option (C) is CORRECT.