Respuesta :
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
[tex]c^\circ+96^\circ=180^\circ\\\\\Rightarrow c^\circ=180^\circ-96^\circ\\\\\Rightarrow c^\circ=84^\circ\\\\\Rightarrow c=84.[/tex]
Thus, the required value of c is 84.
Option (C) is CORRECT.