Answer
negative; II; $45^{\circ}$; $-\sqrt {2}$
Work Step by Step
$135^{\circ}$ is in the second quadrant as it is in between $90^{\circ}$ and $180^{\circ}$.
In the second quadrant, the value of $\sec\theta$ is negative.
For the second quadrant, reference angle
$\theta'=180^{\circ}-\theta=180^{\circ}-135^{\circ}=45^{\circ}$
$\sec 135^{\circ}=-\sec \theta'=-\sec 45^{\circ}=-\sqrt 2$
