bearing in mind that supplementary angles sum up to 180°.
now, there are 60 minutes in 1 degree, and 60 seconds in 1 minute.
28°36'44", let's add some seconds and minutes and degrees to that first, to make it 180°.
44" + 16" = 60" = 1 minute, so if we add 16" we get 36' to turn to 37', namely 36' + 1'.
now, let's add to those 37', say we add 23', namely 37' + 23' = 60', low and behold, 60' is 1°, so our 28° becomes 29°.
now, let's 180 - 29 = 151, so, if we add 151° to 29°, we get 180°.
so the supplementary angle to 28°36'44", will then be 151°23'16".
Two Angles are Supplementary when they add up to 180°
1° = 60'
1' = 60"
180° - 28°36'44" = 180° - 28° - 36' - 44" = 152° - 36' - 44"
= 151° + 60' - 36' - 44" = 151° + 24' - 44"
= 151° + 23' + 60" - 44" = 151° + 23' + 16"
