Answer: 44 degrees
=========================================================
Since the given angle -404 is not between 0 and 360, we add 360 to it to get:
-404 + 360 = -44
We add another 360 to that result
-44 + 360 = 316
now we have a value between 0 and 360
Rules:
* If the angle is between 0 and 90, we stop here and simply write down that value
* If the angle x is between 90 and 180, then we compute 180-x
* If the angle x is between 180 and 270, then we compute x-180
* If the angle x is between 270 and 360, then we compute 360-x
* Note in the three rules above, the order of subtraction is always (larger angle)-(smaller angle) = reference angle
* The reference angle has one segment on the x axis (aka the reference angle is adjacent to the x axis)
Based on that, we see that 316 is between 270 and 360, so we use the rule that
360-x
In this case, x = 316
So,
360-x = 360-316 = 44
The reference angle is 44 degrees and looks like what you see in the attached image.
=========================================================
Since the given angle -404 is not between 0 and 360, we add 360 to it to get:
-404 + 360 = -44
We add another 360 to that result
-44 + 360 = 316
now we have a value between 0 and 360
Rules:
* If the angle is between 0 and 90, we stop here and simply write down that value
* If the angle x is between 90 and 180, then we compute 180-x
* If the angle x is between 180 and 270, then we compute x-180
* If the angle x is between 270 and 360, then we compute 360-x
* Note in the three rules above, the order of subtraction is always (larger angle)-(smaller angle) = reference angle
* The reference angle has one segment on the x axis (aka the reference angle is adjacent to the x axis)
Based on that, we see that 316 is between 270 and 360, so we use the rule that
360-x
In this case, x = 316
So,
360-x = 360-316 = 44
The reference angle is 44 degrees and looks like what you see in the attached image.