180° < A < 270° is the third quadrant.
We first find the reference angle, which is the angle
whose sine is +5/7.
On your TI-84, press 2ND SIN then press 5/7) ENTER
Read 45.5846914°, which is the reference angle. To
increase it to the desired angle in QIII, we add 180°:
A = 225.5846914°
Edwin