GeometricSceneA.,B.,D.,P.,Q.,E.,C.,O.,{},GeometricStep{Line[{A.,B.}]},Line[{D.,P.},D.,Q.],PlanarAngle[P.,D.,Q.]<90°,GeometricStepLine[{A.,E.}],(*EuclideanDistance[A.,E.]<5,*)PlanarAngle[{B.,A.,E.}]PlanarAngle[P.,D.,Q.],GeometricStep[{GeometricAssertion[{Line[{C.,A.}],Line[{A.,E.}]},"Perpendicular"],GeometricAssertion[{Line[{C.,B.}],Line[{A.,B.}]},"Perpendicular"]}],GeometricStep[{O.Midpoint[Line[{A.,C.}]]}],GeometricStep[{CircleThrough[{A.,C.},O.]}],PlanarAngle[{A.,C.,B.}]PlanarAngle[P.,D.,Q.]//RandomInstance
