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How To Calculate Bond Angle In Protein Db File?

If I have three x,y,z coordinates for protein backbone (N-Ca-C-N-Ca-C....) as such:

N -14.152 0.961 4.712
CA -13.296 0.028 3.924
C -11.822 0.338 4.193
N -11.121 -0.642 4.703
CA -9.669 -0.447 4.998
C -8.861 -1.586 4.373

How can I calculate the "bond angles" (Ni-Cai-Ci, Cai-Ci-Ni+1, Ci-Ni+1-CAi+1)?

protein-structure

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