MathDB
TOT 554 1997 Autumn J A4 AD bisects <CAE, 2 intersecting circles

Source:

September 11, 2024
geometryequal anglesangle bisector

Problem Statement

Two circles intersect at points AA and BB. A common tangent touches the first circle at point CC and the second at point DD. Let ∠CBD>∠CAD\angle CBD > \angle CAD. Let the line CBCB intersect the second circle again at point EE. Prove that ADAD bisects the angle ∠CAE\angle CAE.
(P Kozhevnikov)
Back to ProblemsView on AoPS