42 degrees, 29 minutes, and 6 seconds.
Step-by-step explanation:
1. Understand complementary angles add up to 90° 0' 0"
2. Subtract the quantities separately.
2.1. Take a minute and convert it to seconds, so you can subtract.
[tex]
60 - 54 = 6
[/tex]
So now you have some angle with 6".
2.2. Then, take a degree, and convert it to minutes, and subtract the previously taken minute, once more, so you can subtract.
[tex]
59-30=29
[/tex]
Now you have some angle with 29' 6".
2.3. Finally, subtract the degrees.
[tex]
89-47=42
[/tex]
Your angle is 42°29'6".
