MathDB
2005 Geometry #4: Crazy Circle Watermarked on Triangle

Source:

May 16, 2013
geometryincentercongruent triangles

Problem Statement

Let XYZXYZ be a triangle with ∠X=60∘ \angle X = 60^\circ and ∠Y=45∘ \angle Y = 45^\circ . A circle with center PP passes through points AA and BB on side XYXY, CC and DD on side YZYZ, and EE and FF on side ZXZX. Suppose AB=CD=EFAB=CD=EF. Find ∠XPY \angle XPY in degrees.
Back to ProblemsView on AoPS