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My solution: by conservation of energy Kpion+Mpion*c^2=(p1+p2)c^2

p1+p2=(270+135)/c=405/c

by conservation of momentum:

x-direction: Ppion=p1cos(theta1) + p2cos(theta2)=p2cos(theta2)

y-direction: 0=p1-p2sin(theta2)

For the pion we have Ppion*c^2=(E^2-mc^2)^0.5=4.498E-15*c^2

My problem now is solving for theta2. theta2=arctan(P2y/P2x)

I already know P2x=Ppion, but I can't get P2y.

Thanks.