Let the angle be $x$ degrees.
The supplement of $x$ is $180-x$ degrees.
The complement of $x$ is $90-x$ degrees.
The problem tells us that the supplement of $x$ is six times its complement, so we have the equation $180-x = 6(90-x)$.
Simplifying, we get $180-x = 540-6x$.
Combining like terms, we have $5x = 360$.
Dividing both sides by 5, we find $x = \boxed{72}$.
The answer is: 72
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
What is the measure of an angle, in degrees, if its supplement is six times its complement?

### Answer:
