Sum of angles in a hyperbolic triangle with one ideal angle

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I want to calculate the sum of the angles of the triangle formed in the hyperbolic plane from the points $(-1,1), (0,1)$, and $(1,1)$. This forms an angle at the origin which has an infinite slope for the hyperbolic lines going through $(1,-1)$ and $(1,1)$. What is the angle between these two points?