Question

What is the value of c?

50

100

84

Answer 1

THE VALUE C IS NUMBER 4 WHICH IS 84 DEGREES WHICH IS AND OBTUSE ANGLE 

Answer 2

Answer: The correct option is (C) 84.

Step-by-step explanation: We are to find the value of c from the figure shown.

We see from the figure that

a quadrilateral is inscribed in a circle with opposite pairs of angles with measurements (c° and 96°) and (d° and 100°). So, the given quadrilateral is a cyclic one.

We know that

the sum of the measurements of the opposite angles of a cyclic quadrilateral is 180°.

Therefore, we must have

`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.