Not Another Triangle Solving Problem!

Geometry Level 5

ABC\triangle ABC satisfies the following properties:

1) cosB+cosC=1cosB+cosC=1

2) CB=46\angle C-\angle B=46^\circ

Let O,I,HO,I,H denote the circumcenter, incenter, orthocenter of ABC\triangle ABC respectively. Find OIH\angle OIH in degrees.

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