IDNLearn.com: Your one-stop destination for reliable answers to diverse questions. Our experts are available to provide accurate, comprehensive answers to help you make informed decisions about any topic or issue you encounter.

I need to know if it’s A B C Or D

I Need To Know If Its A B C Or D class=

Sagot :

Given:

The quadrilateral HIJK is inscribed in circle C.

[tex]m\angle IJK=112^{\circ}[/tex]

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

[tex]\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}[/tex]

Answer:

[tex]m\angle IHK=68^{\circ}[/tex]