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Geometry Problem 1130: Cyclic Quadrilateral, Diagonals, Angle Bisector, Congruent Angles. Level: High School, SAT Prep, Honors Geometry, College, Math Education

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In a cyclic quadrilateral ABCD, AC and BD meet at E, and AB and DC extended meet at F (figure below). G is on FE extended so that GE is the bisector of angle BGC. Prove that angles AGB and CGD are congruent.
 

Infographic Geometry problem 1130 Cyclic Quadrilateral, Diagonals, Angle Bisector, Congruent Angles
 

 

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Last updated: Jul 8, 2015 by Antonio Gutierrez.