The given data is angle ∡RSU and angle ∡UST are complementary and
angle ∡RSU= 8k-1 and angle ∡UST = 7 (k-2)
The sum of the complementary angles is 90°
∡RSU + ∡UST = 90° => 8k-1 + 7 (k-2) = 90 => 8k-1+7k-14=90 => 15k - 15 = 90 => 15k = 90+15 => 15k = 107 => k= 105/15 = 7° then
∡RSU= 8k-1= 8*7-1= 55°
∡UST= 7 (k-2)= 7 (7-2)= 7*5= 35°
The correct answer is ∡RSU= 55° and ∡UST= 35°
Good luck!!!
