  This paper separately evaluates the effects of inclination and asymmetry of
solar coronal loops on the resonant absorption of kink magnetohydrodynamic
(MHD) oscillations. We modelled a typical coronal loop by a straight and
axisymmetric cylindrical magnetic flux tube filled with cold plasma. We solved
the dispersion relation numerically for different values of the longitudinal
mass density stratification. We show that, in inclined and asymmetric loops,
the frequencies and their corresponding damping rates of the fundamental and
first-overtone modes of kink oscillations are smaller in comparison with
semi-circular uninclined loops with the same lengths. The results also indicate
that, the period ratio $P_1/P_2$, increases with increasing the inclination of
the loop, but it decreases less than $2\%$ while imposing the asymmetry to each
loop side, up to $9.66\%$ of the loop length. The ratio of each mode frequency
to its corresponding damping rate remain unchanged approximately while the
inclination or the asymmetry imposed. Hence, we conclude that these ratios are
reliable for inferring the physical parameters of coronal loops and coronal
medium, regardless of the loop shape or the state of its inclination. In
addition, in contrast with the effect of asymmetry which is not significant on
the period ratio $P_1/P_2$, when an observed oscillating loop has a smaller
apex height, the state of its inclination is an important factor that should be
considered, especially when the period ratio $P_1/P_2$, is taken into
consideration for coronal seismology.
