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The angle subtended by a chord at the centre is twice the size of the angle subtended by the same chord at the circumference.
The angles subtended by a chord in the same segment are equal.
The angle of a semi-circle is a right angle.
The opposite angles of a cyclic quadrilateral add up to 1800
The angle between a tangent and a radius at the point of contact is a right angle.
The two tangents drawn to a circle from a point are equal in length.
The angle between a chord and a tangent is equal to the angle subtended by the same chord in the alternate segment.
Note 
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