We let x be the measure of the angle we are looking for in this problem.
A supplement means that the sum of two angles is equal to 180 degrees. This means that the supplement of the angle x is written as 180 - x. This expression now represents the left-hand side of the equation.
A complement means that the sum of two angles is equal to 90 degrees. This means that the complement of the angle x is represented as 90 - x.
It is stated in the problem that the supplement is 62 less than three times its complement. This will represent the right-hand side of our equation.
For three times the complement, we multiply 3 to 90 - x, getting the expression 3(90-x).
It is also stated that the supplement is 62 less than the obtained expression above, meaning, we have 62 - 3(90-x).
The mathematical equation can now be rewritten as:
[tex]180-x=62-3(90-x)[/tex]
Answer: 180 - x = 62 - 3(90-x)
