Show that $\langle Tx, y \rangle = i\langle x, Ty \rangle$ is bounded

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Can anyone help me prove this?

Let $T$ be a linear operator in a Hilbert space $H$ so that $\langle Tx, y \rangle = i\langle x, Ty \rangle$ for all $x, y \in H$. Show that $T$ is bounded.

I think I should use the closed graph theorem, but it is not clear to me how to do it. Any help will be very welcome.