Find the reference angle for the angle $308^{\circ}$.

The angle is $\square^{\circ}$.

Step 1 ：The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis. For an angle in standard position, its reference angle is the smallest angle it makes with the x-axis.

Step 2 ：For an angle greater than 270 degrees and less than or equal to 360 degrees, the reference angle can be found by subtracting the given angle from 360 degrees.

Step 3 ：So, to find the reference angle for 308 degrees, we need to subtract 308 from 360.

Step 4 ：Let's calculate this: \(360 - 308 = 52\)

Step 5 ：Final Answer: The reference angle for the angle \(308^{\circ}\) is \(\boxed{52^{\circ}}\).