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?

conserve momentum.

The sum of the two momenta after the collision must be the same as the original momentum of the moving ball.

No diagrams here, so there's no way to tell the direction of the first ball.