Answer:
Degrees (°) are the basic unit for measuring angles. However, there are some smaller units that help us determine an angle more precisely. Just like an hour, these units are named minute (') and second ("). One degree has 60 minutes or 3600 seconds.
In our case we have 150° + 4/60 + 420/3600 = 150.1833333
Now, let's convert this to DMS. So, the integer part of this decimal number is the number of degrees, which is 150. We then take the remainder, which is 0.18333333 and multiply it with 60 (number of minutes in a degree) to find how many minutes are there:
0.18333333 • 60 = 11.
Since there are no remainder left, this angle has no seconds, so, converted to DMS, this angle is:
150° 11'
