Solving 2D Collision: Find v1 & v2 Magnitudes

[kbeyer]

A fireworks rocket is moving at a speed of 45.0 m/s. The rocket suddenly breaks into 2 pieces of equal mass, which fly off with velocities v1 and v2. v1 creates an angle of 30 degrees above the x-axis and v2 creates an angle of 60 degrees below the x-axis.

What is the magnitude of v1 and v2?

 

[St. Aegis]

Using the conservation of momentum, and this problem becomes equally easy because they give that the mass is the same;
Im not sure, are we supposed to solve these problems for other students? or help them learn