Question

Examine the diagram, where quadrilateral HIJK is inscribed in OC.

H
RD
K
112
1
J
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If mZIJK = 112°, what is mZIHK?

Answer 1

m<IHK = 68°

Explanation:

In an inscribed quadrilateral, opposite angels are supplementary. This means that the sum of the opposite angles in am inscribed quadrilateral equals 180°. One is the supplement of the other.

Therefore,

m<IHK = 180 - m<IJK

m<IHK = 180° - 112°

m<IHK = 68°