● Add the following angles: 25°54'13" + 100°05'25" 225°54'28" + 67°30'55" • Subtract the following angles: 340°52'10" - 199°40'55" 240°02'58" - 132°30'45”

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Please show the steps needed. This is a new concept to me and I'm struggling to grasp it. Thanks!

 

 
### Adding and Subtracting Angles

#### Adding Angles:
1. Add the following angles:
    - \( 25^\circ 54' 13'' \)
    - \( + 100^\circ 05' 25'' \)
    
      ![Addition of Angles 1](image1)
      
2. Add the following angles:
    - \( 225^\circ 54' 28'' \)
    - \( + 67^\circ 30' 55'' \)
    
      ![Addition of Angles 2](image2)

#### Subtracting Angles:
1. Subtract the following angles:
    - \( 240^\circ 02' 58'' \)
    - \( - 132^\circ 30' 45'' \)
    
      ![Subtraction of Angles 1](image3)
      
2. Subtract the following angles:
    - \( 340^\circ 52' 10'' \)
    - \( - 199^\circ 40' 55'' \)
    
      ![Subtraction of Angles 2](image4)

---

**Explanation of Units:**
- Degrees (\(°\)): The primary unit of measuring angles.
- Minutes (\('\)): Each degree is divided into 60 minutes.
- Seconds (\(''\)): Each minute is divided into 60 seconds.

When adding or subtracting angles, add or subtract the degrees, minutes, and seconds separately. If the sum of seconds or minutes exceeds 60, convert the excess into minutes or degrees accordingly. For subtraction, if necessary, convert from the higher unit to ensure the proper calculation.
Transcribed Image Text:### Adding and Subtracting Angles #### Adding Angles: 1. Add the following angles: - \( 25^\circ 54' 13'' \) - \( + 100^\circ 05' 25'' \) ![Addition of Angles 1](image1) 2. Add the following angles: - \( 225^\circ 54' 28'' \) - \( + 67^\circ 30' 55'' \) ![Addition of Angles 2](image2) #### Subtracting Angles: 1. Subtract the following angles: - \( 240^\circ 02' 58'' \) - \( - 132^\circ 30' 45'' \) ![Subtraction of Angles 1](image3) 2. Subtract the following angles: - \( 340^\circ 52' 10'' \) - \( - 199^\circ 40' 55'' \) ![Subtraction of Angles 2](image4) --- **Explanation of Units:** - Degrees (\(°\)): The primary unit of measuring angles. - Minutes (\('\)): Each degree is divided into 60 minutes. - Seconds (\(''\)): Each minute is divided into 60 seconds. When adding or subtracting angles, add or subtract the degrees, minutes, and seconds separately. If the sum of seconds or minutes exceeds 60, convert the excess into minutes or degrees accordingly. For subtraction, if necessary, convert from the higher unit to ensure the proper calculation.
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