MathDB
O in ABCD making angles of 30 and 45 degrees [ILL 1971]

Source:

January 1, 2011
geometry proposedgeometry

Problem Statement

The diagonals of a convex quadrilateral ABCDABCD intersect at a point OO. Find all angles of this quadrilateral if OBA=30,OCB=45,ODC=45\measuredangle OBA=30^{\circ},\measuredangle OCB=45^{\circ},\measuredangle ODC=45^{\circ}, and OAD=30\measuredangle OAD=30^{\circ}.