Final answer:
To find the complement of an angle that is given as (6x-5)°, subtract the angle from 90°. The complement is 95° - 6x.
Step-by-step explanation:
To find the complement of an angle that is given as (6x-5)°, you need to subtract the angle from 90°, since the sum of an angle and its complement is always 90°. So, the complement would be 90° - (6x-5)°.
To simplify the expression further, distribute the negative sign to both terms inside the parentheses: 90° - 6x + 5°. Combine like terms by adding the constant terms and then rearrange the terms in descending order of the variable: 95° - 6x.
Therefore, the complement of the angle (6x-5)° is 95° - 6x.
Learn more about Complementary angles