The unknown parts are B, a, c,
B = 180 – (A + C) = 180 – (35° 17′ + 45° 13′) = 99° 30′
To find sides, use sine formula
log c = log 42.1 + log sin 45° 31 – log sin 99° 30′
= 1.6243 + 1.8511 – 1.9940
= 1.4754 – 1.9940
= 1.4754 – [-1 + 0.9940] = 1.4814
⇒ c = 30.3°
Thus B = 99° 30′ ; a = 24.65° ; c = 30.3°