To find the value of \( x \) in the triangle, we can use the fact that the sum of the angles in any triangle is always \( 180^\circ \).
Given the angles of the triangle:
- \( x \) (the top left angle)
- \( 29^\circ \) (the top right angle)
- \( 44^\circ \) (the bottom left angle)
We can set up the equation:
\[ x + 29 + 44 = 180 \]
Now, combine the known angle measures on the left side:
\[ x + 73 = 180 \]
Next, we isolate \( x \) by subtracting \( 73 \) from both sides:
\[ x = 180 - 73 \]
Calculating this gives:
\[ x = 107 \]
Hence, the value of \( x \) is \( \boxed{107} \).