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.