A tangent meets a circle at one point and one point only. The angle between a tangent and a radius is a right angle of \(90^\circ\). PT is a tangent and CT is a radius, therefore \(\angle CTP=90 ...
More simply, opposite angles in a cyclic quadrilateral add up to 180°. A tangent is a straight line which touches the circle at a point but does not cut through the circle. There are two theorems ...
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