Final answer:
The supplement of the angle 128°19'28'' is 51° 40' 32''. To find it, subtract the given angle from 180 degrees, converting everything to degrees, minutes, and seconds as necessary.
Step-by-step explanation:
The measure of the supplement of an angle is found by subtracting the angle's measure from 180 degrees, since the sum of supplementary angles is 180 degrees. In this case, the angle is given as 128°19'28''. To find the supplement, we convert the given angle to degrees, minutes, and seconds and then subtract from 180 degrees.
First, remember that 1 degree = 60 minutes and 1 minute = 60 seconds. Thus:
- 180° = 179° 60' = 179° 59' 60''
Subtract the given angle from 180 degrees:
- 179° 59' 60''
- 128° 19' 28'' - ================
- 51° 40' 32''
So, the measure of the supplement of the given angle is 51° 40' 32''.