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Please compute the angles in degrees for the following triangles.

Let's solve for the missing angles in the triangles using the Law of Cosines or Law of Sines where necessary.

### Problem 1:
Given: 
- \( a = 8 \, \text{cm} \), 
- \( b = 10 \, \text{cm} \), 
- \( c = 18 \, \text{cm} \).

To find \( x^\circ \), we can use the **Cosine Rule**:
\[
\cos(x) = \frac{a^2 + b^2 - c^2}{2ab}
\]

### Problem 2:
Given:
- \( a = 5 \, \text{cm} \), 
- \( b = 9 \, \text{cm} \), 
- \( c = 13 \, \text{cm} \).

Use **Cosine Rule** to find \( \gamma \):

\[
\cos(\gamma) = \frac{a^2 + b^2 - c^2}{2ab}
\]

### Problem 3:
Given:
- \( a = 5 \, \text{cm} \), 
- \( b = 3 \, \text{cm} \), 
- \( c = 7 \, \text{cm} \).

Use **Cosine Rule** for \( a^\circ \).

### Problem 4:
Given:
- \( a = 4 \, \text{cm} \), 
- \( b = 11 \, \text{cm} \), 
- \( c = 9 \, \text{cm} \).

Use **Cosine Rule** for \( b^\circ \).

### Problem 5:
Given:
- \( a = 7 \, \text{cm} \), 
- \( b = 9 \, \text{cm} \), 
- \( c = 15 \, \text{cm} \).

Use **Cosine Rule** for \( c^\circ \).

### Problem 6:
Given:
- \( a = 9 \, \text{cm} \),
- \( b = 6 \, \text{cm} \),
- \( c = 12 \, \text{cm} \).

Use **Cosine Rule** for \( d^\circ \).

### Problem 7:
Given:
- \( a = 11.3 \, \text{cm} \), 
- \( b = 12.4 \, \text{cm} \), 
- \( c = 21.4 \, \text{cm} \).

Use **Cosine Rule** for \( e^\circ \).

### Problem 8:
Given:
- One angle is \( 93^\circ \),
- \( a = 11.3 \, \text{cm} \),
- \( b = 14.7 \, \text{cm} \),
- \( c = 20.7 \, \text{cm} \).

Use **Sine Rule** or **Cosine Rule** to find \( f^\circ \) and \( g^\circ \).

I'll compute each step now for you.Here are the computed missing angles for each triangle:

1. \( x^\circ = 180^\circ \) (This indicates an error, likely because the sides given do not form a valid triangle).
2. \( \gamma^\circ = 134.43^\circ \)
3. \( a^\circ = 120^\circ \)
4. \( b^\circ = 50.48^\circ \)
5. \( c^\circ = 138.

Solve a set of triangles with given side lengths using trigonometric rules like the Cosine Rule and Sine Rule to find missing angles. Suitable for high school students in Grades 9-12.

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