Answer:
Hi! The trouble here is converting the minutes and seconds of the angles. Complimentary angles total 90 degrees. There are 60 minutes in one degree, so you actually have 89 degrees and 60 minutes. There are 60 seconds in a minute, so now you have 89 degrees, 59 minutes, and 60 seconds. Now you can subtract:
89-27 = 62 degrees
59-35 = 24 minutes
60-15 = 45 seconds
So the compliment is 62024'45"
The same logic happens for the supplement except you have 179 degrees 59 minutes and 60 seconds.
179-27 = 152
59-35 = 24
60-15 = 45
So the supplement is 152024'45"
Hope this helps
Explanation: