Question

I need to know if it’s A B C Or D

Answer 1

Given:

The quadrilateral HIJK is inscribed in circle C.

`m\angle IJK=112^(\circ)`

As we know that, the opposite angles in a cyclic quadrilateral add up to 180 degrees.

`\begin{gathered} m\angle IJK+m\angle IHK=180^(\circ) \\ 112^(\circ)+m\angle IHK=180^(\circ) \\ m\angle IHK=180^(\circ)-112^(\circ) \\ m\angle IHK=68^(\circ) \end{gathered}`

Answer:

`m\angle IHK=68^(\circ)`