To find the value of \( x \) in the context provided, it appears that you are describing a triangle where the angles are given as \( 60^\circ \), \( 60^\circ \), and \( x \).
In a triangle, the sum of all interior angles is always \( 180^\circ \). Therefore, we can set up the equation:
\[ 60^\circ + 60^\circ + x = 180^\circ \]
Combining the known angles:
\[ 120^\circ + x = 180^\circ \]
To solve for \( x \), subtract \( 120^\circ \) from both sides:
\[ x = 180^\circ - 120^\circ \]
\[ x = 60^\circ \]
Thus, the value of \( x \) is:
\[ \boxed{60^\circ} \]