Add: `63^(@) 45' 28'' and 85^(@) 50' 45''`

Answer

To solve the problem of adding the angles \(63^\circ 45' 28''\) and \(85^\circ 50' 45''\), we will follow these steps:

### Step-by-Step Solution:

1. **Write down the angles to be added**:
- First angle: \(63^\circ 45' 28''\)
- Second angle: \(85^\circ 50' 45''\)

2. **Add the seconds**:
- \(28'' + 45'' = 73''\)

3. **Convert seconds to minutes**:
- Since \(73''\) is more than \(60''\), we convert it:
- \(73'' = 60'' + 13''\) which gives us \(1'\) (1 minute) and \(13''\) (13 seconds).
- So, we have \(1'\) to carry over.

4. **Add the minutes including the carry from seconds**:
- \(45' + 50' + 1' = 96'\)

5. **Convert minutes to degrees**:
- Since \(96'\) is more than \(60'\), we convert it:
- \(96' = 60' + 36'\) which gives us \(1^\circ\) (1 degree) and \(36'\) (36 minutes).
- So, we have \(1^\circ\) to carry over.

6. **Add the degrees including the carry from minutes**:
- \(63^\circ + 85^\circ + 1^\circ = 149^\circ\)

7. **Combine all parts**:
- The final result combines degrees, minutes, and seconds:
- \(149^\circ 36' 13''\)

### Final Answer:
The sum of \(63^\circ 45' 28''\) and \(85^\circ 50' 45''\) is \(149^\circ 36' 13''\).

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