In triangle $ABC,$
\[a^4 + b^4 + c^4 = 2c^2 (a^2 + b^2).\]Enter the possible values of $\angle C,$ in degrees, separated by commas.
Question:
In triangle $ABC,$
\[a^4 + b^4 + c^4 = 2c^2 (a^2 + b^2).\]Enter the possible values of $\angle C,$ in degrees, separated by commas.
Answer:
Let's think step by step.

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45^\circ, 135^\circ
In triangle $ABC,$
\[a^4 + b^4 + c^4 = 2c^2 (a^2 + b^2).\]Enter the possible values of $\angle C,$ in degrees, separated by commas.
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