Question

What is the value of c? A.100 B.50 C.84 D.80

Answer 1

I believe the answer is A.

Answer 2

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

$c^\circ+96^\circ=180^\circ\\\\\Rightarrow c^\circ=180^\circ-96^\circ\\\\\Rightarrow c^\circ=84^\circ\\\\\Rightarrow c=84.$

Thus, the required value of c is 84.

Option (C) is CORRECT.