In a cyclic quadrilateral ABCD, ∠A is opposite to ∠C. If ∠A = 110 degree, then what is the value of ∠C?

70 degree

Concept Used

In a cyclic quadrilateral, opposite angles are supplementary (i.e; they add up to \({180}^\circ\)).

Solution

\(\angle\)C = \({180}^\circ\) - \(\angle\)A

\(\angle\)C = \({180}^\circ\) - \({110}^\circ\) = \({70}^\circ\).

Therefore, \(\angle\)C is \({70}^\circ\).