Find the supplement of `28^(@) 35'`

Answer

To find the supplement of the angle \(28^\circ 35'\), we follow these steps:

### Step 1: Understand the definition of supplementary angles
Supplementary angles are two angles whose sum is \(180^\circ\). Therefore, to find the supplement of a given angle, we subtract that angle from \(180^\circ\).

### Step 2: Write the equation for the supplement
Let the angle be \(28^\circ 35'\). The supplement can be calculated as:
\[ \text{Supplement} = 180^\circ - 28^\circ 35' \]

### Step 3: Convert \(180^\circ\) into degrees and minutes
Since \(28^\circ 35'\) is in degrees and minutes, we can express \(180^\circ\) in a similar format:
\[ 180^\circ = 179^\circ 60' \]

### Step 4: Perform the subtraction
Now we can subtract \(28^\circ 35'\) from \(179^\circ 60'\):
\[ 179^\circ 60' - 28^\circ 35' \]

### Step 5: Subtract the minutes
First, subtract the minutes:
\[ 60' - 35' = 25' \]

### Step 6: Subtract the degrees
Now, subtract the degrees:
\[ 179^\circ - 28^\circ = 151^\circ \]

### Step 7: Combine the results
Now, combine the results from the degrees and minutes:
\[ \text{Supplement} = 151^\circ 25' \]

### Final Answer
The supplement of \(28^\circ 35'\) is \(151^\circ 25'\).

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