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The Sum of Opposite Angles of a Quadrilateral in a Circle is 180 Degrees
The sum of the opposite angles of a quadrilateral in a circle is 180°, as long as the quadrilateral does not cross itself.
Drag the vertices on the circle to change the angles.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
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RELATED LINKS
Cyclic Quadrilateral
(
Wolfram
MathWorld
)
Quadrilateral
(
Wolfram
MathWorld
)
PERMANENT CITATION
Jay Warendorff
"
The Sum of Opposite Angles of a Quadrilateral in a Circle is 180 Degrees
"
http://demonstrations.wolfram.com/TheSumOfOppositeAnglesOfAQuadrilateralInACircleIs180Degrees/
Wolfram Demonstrations Project
Published: January 31, 2008
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Related Curriculum Standards
US Common Core State Standards, Mathematics
HSG-C.A.2