  Partial widths of the radiative decays $\phi(1020)\to\gamma f_0(980)$,
$\gamma\eta$, $\gamma\eta'$, $\gamma\pi^0$ and $f_0(980)\to\gamma\gamma$ are
calculated assuming all mesons under consideration to be $q\bar q$ states:
$\phi(1020)$ is dominantly an $s\bar s$ state ($n\bar n$ component $\lesssim
1%$), $\eta$, $\eta'$ and $\pi^0$ are standard $q\bar q$ states, $\eta = n\bar
n\cos\theta - s\bar s\sin\theta$ and $\eta'=n\bar n\sin\theta + s\bar
s\cos\theta$ with $\theta\simeq 37^\circ$, and $f_0(980)$ is the $q\bar q$
meson with the flavour wave function $n\bar n\cos\phi + s\bar s \sin\phi$.
Calculated partial widths for the decays $\phi\to\gamma \eta$, $\gamma\eta'$,
$\gamma\pi^0$ are in a reasonable agreement with experiment. The measured value
of the branching ratio $BR(\phi\to\gamma f_0(980))$ requires $25^\circ\le
|\phi|\le 90^\circ$; for the decay $f_0(980)\to\gamma\gamma$ the agreement with
data is reached at either $77^\circ\le\phi\le 93^\circ$ or
$(-54^\circ)\le\phi\le (-38^\circ)$. Simultaneous analysis of the decays
$\phi(1020)\to\gamma f_0(980)$ and $f_0(980)\to\gamma\gamma$ provides arguments
in favour of the solution with negative mixing angle $\phi =-48^\circ\pm
6^\circ$.
