To find the value of angle \( x \), which is the exterior angle at the top vertex of the triangle, we can use the properties of angles in a triangle.
First, we calculate the third interior angle of the triangle. The sum of the interior angles of a triangle is always \( 180^\circ \). Given the interior angles are \( 41^\circ \) and \( 53^\circ \), we find the third angle as follows:
\[ \text{Third angle} = 180^\circ - 41^\circ - 53^\circ \]
Calculating this gives:
\[ \text{Third angle} = 180^\circ - 94^\circ = 86^\circ \]
Now, the exterior angle \( x \) at the top vertex is equal to the sum of the two opposite interior angles (the angles that are not adjacent to \( x \)). Therefore, we have:
\[ x = 41^\circ + 53^\circ \]
Calculating this gives:
\[ x = 94^\circ \]
Thus, the value of angle \( x \) is:
\[ \boxed{94^\circ} \]