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Question
In the given figure, ABCD is a cyclic quadrilateral. Find the value of x.
Solution
Here, ABCD is a cyclic quadrilateral, we need to find x.
In cyclic quadrilateral the sum of opposite angles is equal to 180°.
Therefore,
\[\angle ADC + \angle ABC = 180°\]
\[ \Rightarrow 180° - 80°+ 180°- x = 180° \]
\[ \Rightarrow x = 100° \]
Hence, the value of x is 100°.
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