It is a right angle.
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All triangles inscribed in a semicircle with one side of the triangle being the diameter of the semicircle are right triangles.
Yes. It follows from one of the circle theorems which states that the angle subtended in a semicircle is a right angle.
The center of an inscribed angle is either a vertex or an endpoint.
Yes
You find the arc measure and then you divide it in half to find the inscribed angle