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Easy: Inscribed angle from its arc
A central angle has its vertex at the center, and it measures the same as the arc it cuts off. An inscribed angle has its vertex on the circle, and it is half of its intercepted arc. So an inscribed angle is also half of the central angle that stands on the same arc.
Find the value of x.
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Both open onto the same arc, but the inscribed angle's vertex is on the circle, farther from the arc. The inscribed angle theorem shows it measures exactly half the arc.
It is always 90°, because it opens onto a 180° arc.
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