The static and dynamic electric dipole polarizabilities of the $5s^2{}^{1}S_0$ and $5s5p{}^{3}P_{0,2}$ states of Sr atoms are calculated using the relativistic configuration interaction plus the many-body perturbation theory (RCI + MBPT) method. Magic wavelengths are determined for the transitions $5s^2{}^{1}S_0\to 5s5p{}^{3}P_0$, $5s^2{}^{1}S_0\to 5s5p{}^{3}P_2$, and $5s5p{}^{3}P_0\to 5s5p{}^{3}P_2$. A comprehensive study is conducted on the dependence of magic wavelengths on the angle between the laser polarization and the magnetic field. Furthermore, the conditions for realizing triple magic trapping at 813.4 nm for the $5s^2{}^{1}S_0$, $5s5p{}^{3}P_0$, and $5s5p{}^{3}P_2$ states are investigated. In the case of linearly polarized light, when the angle (${\theta }_p$) between the laser polarization direction and the magnetic field is $79.1{\left(0.7\right)}^{\circ }$, triple magic trapping for the $5s^2{}^{1}S_0$, $5s5p{}^{3}P_0$, and $5s5p{}^{3}P_{2}M=0$ states can be achieved. This result agrees well with the recent experimental measurement $(78.49{\left(3\right)}^{\circ }$)[M. Ammenwerth et al., Phys. Rev. Lett. 135, 143401 (2025)]. Meanwhile, triple magic trapping involving the $5s5p{}^{3}P_{2}M=2$ state can be achieved when ${\theta }_p=37.4{\left(0.3\right)}^{\circ }$. The conditions for achieving triple magic trapping with circularly and arbitrarily elliptically polarized light are also presented.

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• Atomic & molecular clusters
• Electronic structure of atoms & molecules