Geometry Problems, Online Education

Problem 724: Circumscribed Quadrilateral, Circle, Angle, Measure. High School, College

In the diagram, ABCD is a circumscribed quadrilateral to circle O. E is a point on OA and F is a point on OC. If the measure of angle EBF is half the measure of angle ABC, prove that the measure of angle EDF is half the measure of angle ADC.
 

Tangencial, Circumscribed Quadrilateral, Angles
 

 

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Index

Squares, Circles, Collinear

Geometry Problem 723.
Squares, Circumscribed Circles, Collinear points.

Squares, Circles, Collinear

Geometry Problem 722.
Squares, Circumscribed Circles, Collinear points.

Triangle, Orthocenter, Circumcircle, Collinear

Geometry Problem 721.
Triangle, Orthocenter, Circumcircle, Altitude, Collinear points.

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