DRIVER AND PASSENGER EXTERIOR DOOR LATCH DID NOT LATCH WHEN DOOR WAS CLOSED. WHILE THE DRIVER WAS TURNING RIGHT ON A VILLAGE STREET, BOTH THE DRIVER AND PASSENGER DOORS OPENED UNEXPECTEDLY. WHILE IN MOTION AROUND THE TURN THE DRIVER ATTEMPTED TO CLOSE THE DOOR TO AVOID ONCOMING TRAFFIC. DURING THE ATTEMPT TO CLOSE THE DOOR, THE CAR HIT A TREE ON THE RIGHT SIDE OF THE ROAD. A POLICE REPORT WAS FILED. I SUSPECT THE STUCK LATCH WAS DUE TO WATER AND/OR DIRT GETTING IN THE LATCH HINGE.