The bond angles of `NH_(3),NH_(4)^(o+)` and `overset(Theta)(NH_(2)` are in the order .

Options

A. `NH_(2)^(Theta) gt NH_(3) gt overset(o+)NH_(4)`
B. `overset(o+)NH_(4) gt NH_(3) gt overset(Theta)NH_(2)`
C. `NH_(3) gtoverset(Theta)NH_(2) gt overset(o+)NH_(4)`
D. `NH_(3) gt overset(o+)NH_(4) gt overset(Theta)NH_(2)`

Explanation

To determine the bond angles of \( NH_3 \), \( NH_4^+ \), and \( NH_2^- \), we need to analyze the molecular structures of each species and the influence of lone pairs on bond angles.

### Step 1: Analyze the structure of \( NH_3 \) (Ammonia)
- **Structure**: Ammonia has one nitrogen atom bonded to three hydrogen atoms and has one lone pair of electrons on the nitrogen.
- **Bond Angle**: The ideal bond angle in a tetrahedral arrangement is 109.5°. However, due to the presence of the lone pair, the bond angle in \( NH_3 \) is slightly less than 109.5° (approximately 107°) because lone pairs exert greater repulsive forces than bonding pairs.

### Step 2: Analyze the structure of \( NH_4^+ \) (Ammonium Ion)
- **Structure**: The ammonium ion has one nitrogen atom bonded to four hydrogen atoms and has no lone pairs of electrons.
- **Bond Angle**: Since there are no lone pairs, the bond angles in \( NH_4^+ \) are 109.5°, characteristic of a perfect tetrahedral geometry.

### Step 3: Analyze the structure of \( NH_2^- \) (Amide Ion)
- **Structure**: The amide ion has one nitrogen atom bonded to two hydrogen atoms and has two lone pairs of electrons on the nitrogen.
- **Bond Angle**: With two lone pairs, the bond angle is reduced further due to increased lone pair-lone pair repulsion. The bond angle in \( NH_2^- \) is approximately 104.5°, which is less than that of \( NH_3 \).

### Conclusion: Order of Bond Angles
Based on the analysis:
- \( NH_4^+ \) has the largest bond angle (109.5°).
- \( NH_3 \) has a smaller bond angle (approximately 107°).
- \( NH_2^- \) has the smallest bond angle (approximately 104.5°).

Thus, the order of bond angles is:
\[ NH_4^+ > NH_3 > NH_2^- \]

### Final Answer
The bond angles of \( NH_3 \), \( NH_4^+ \), and \( NH_2^- \) are in the order:
\[ NH_4^+ > NH_3 > NH_2^- \]