Opposite Angles of a Quadrilateral in a Circle


	The sum of the opposite angles of a "simple" quadrilateral in a circle is 180°. Drag the vertices on the circle to change the angles.


	Contributed by: Jay Warendorff

Cyclic Quadrilateral (Wolfram MathWorld)

Quadrilateral (Wolfram MathWorld)

"Opposite Angles of a Quadrilateral in a Circle" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/OppositeAnglesOfAQuadrilateralInACircle/

Contributed by: Jay Warendorff

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Euclid's Elements
Plane Geometry
Polygons
High School Geometry
High School Mathematics

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Side Lengths Opposite Unequal Angles
Inscribed and Central Angles in a Circle
Division of the Opposite Side by an Angle Bisector
Inscribed Angles That Intercept the Same Arc
Tangent Chord Angle
Angle Bisector Theorem
Tangents to a Circle
Tangent Circles
Triangles: Acute, Right, and Obtuse
The Chordal Theorem

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