The white ball in the figure has a speed of 1.67 m/s and the yellow ball is at rest prior to an elastic glancing collision. After the collision the white ball has a speed of 1.43 m/s. To the nearest tenth of a degree, measured counterclockwise from east, what angle does it scatter at if the yellow ball is scattered at 280o? (white ball moving to the right)

Steve tried to answer earlier but you have still not given direction of velocity vector of the first ball. Anyway as he said conserve momentum in the north direction and in the east direction.