To find the measure of the exterior angle \( x \), we use the exterior angle theorem. The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
In your case, the two given interior angles are \( 74^\circ \) and \( 53^\circ \).
According to the theorem, we have:
\[ x = 74^\circ + 53^\circ \]
Calculating this gives:
\[ x = 74 + 53 = 127^\circ \]
Thus, the measure of the exterior angle \( x \) is:
\[ \boxed{127^\circ} \]