# Not Another Triangle Solving Problem!

Geometry Level 5

$$\triangle ABC$$ satisfies the following properties:

1) $$cosB+cosC=1$$

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

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

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