What is the mass and direction of the third piece?

[vongola13th]

Homework Statement

A small explosive charge is placed in a rubber block resting on a smoother surface(frictionless). when the charge is detonated, the block
breaks into three pieces. A 200g piece travels 1.4 m/s and 300g piece travels at 0.90m/s. The third piece flies off at a speed of 1.8m/s.
If the angle between the first two pieces is 80(degrees), calculate the mass and the direction of the third piece. two sig figs.

Homework Equations

n/a

The Attempt at a Solution

honestly no idea. Help would be wonderfull

 

[NasuSama]

First start is the body diagram. Indicate what you know from the problem.