Question 154580
Let the angle you are tryng to find = A.
The complement of angle A = (90-A) and 6 times this complement is 6(90-A) and 43 less than that is 6(90-A)-43, so you can write:
A = 6(90-A)-43 Simplify and solve for A.
A = 540-6A-43
A = 497-6A  Add 6A to both sides.
7A = 497  Divide both sides by 7.
A = 71 degrees
The complement of A = 90-A = 09-71 = 19 degrees.