Question

In the given figure, ABCD is a cyclic quadrilateral. Find the value of x.

Answer 1

Here, ABCD is a cyclic quadrilateral, we need to find x.

In cyclic quadrilateral the sum of opposite angles is equal to 180°.

Therefore,

$$\begin{gathered} \angle ADC+\angle ABC=180° \\ \Rightarrow 180°-80°+180°-x=180° \\ \Rightarrow x=100° \end{gathered}$$

Hence, the value of x is 100°.