Given,
Two complex numbers {w}_{1}&{w}_{2}
w1=3+5i and w2=5+4i are both rotated by 90∘ with respect to origin anticlock-wise and clockwise respectively,
So by concept of rotation we get,
w3=iw1=i(3+5i)=−5+3i
And w4=−iw2=−i(5+4i)=4−5i
Now principal argument of w3−w4=−9+8i will be π−tan−198 {as complex number is in second quadrant so principal argument is given by π−tan−1∣xy∣}