Answer
$T_{1}=20.79N$
$T_{2}=14.7N$
Work Step by Step
Balancing the forces horizontally,
$T_{1}sin45^{\circ}=T_{2}$
$T_{1}=\sqrt 2T_{2}$ .... equation (1)
Balancing the forces vertically,
$T_{1}cos45^{\circ}=mg$
$T_{1}=20.79N$
Hence, from equation (1), $T_{2}=14.7N$