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Subtract: 36^(@)53' from 71^(@) 34'...

Subtract: `36^(@)53'` from `71^(@) 34'`

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To solve the problem of subtracting `36° 53'` from `71° 34'`, we can follow these steps: ### Step 1: Write down the values We have: - Minuend (the number from which we are subtracting): `71° 34'` - Subtrahend (the number we are subtracting): `36° 53'` ### Step 2: Check the minutes Since we are subtracting `53'` from `34'`, we notice that `34'` is less than `53'`. This means we cannot directly subtract the minutes. ### Step 3: Borrow 1 degree To solve this, we need to borrow 1 degree from the degrees in `71°`. When we borrow 1 degree, we convert it into minutes: - 1 degree = 60 minutes - So, we add `60'` to `34'`: \[ 34' + 60' = 94' \] - Now, we have `70°` left (since we borrowed 1 degree from `71°`). ### Step 4: Rewrite the values After borrowing, we rewrite the values: - New minuend: `70° 94'` - Subtrahend remains the same: `36° 53'` ### Step 5: Subtract the minutes Now we can subtract the minutes: \[ 94' - 53' = 41' \] ### Step 6: Subtract the degrees Next, we subtract the degrees: \[ 70° - 36° = 34° \] ### Step 7: Combine the results Now, we combine the results of degrees and minutes: \[ 34° 41' \] ### Final Answer Thus, the result of subtracting `36° 53'` from `71° 34'` is: \[ 34° 41' \] ---
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