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Angles in Circles Angles on the circumference Angles from a diameter

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Angles in Circles Angles on the circumference Angles from a diameter
Angles at the centre & the circumference Cyclic quadrilaterals Tangents

Angles on the circumference
Angles on the circumference from opposite ends of a chord are the same

Angles from a diameter Angles on the circumference from opposite ends of a diameter are 90°

Angles at the centre & the circumference
Angles on the circumference from opposite ends of a chord are half of the angle at the centre (from the same chord)

Cyclic quadrilaterals
Opposite angles of a quadrilateral on the circumference total 180°

Tangents The angle between a tangent and a radius (where the tangent touches the circle) is 90°

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