To find the value of angle \( x \) in the triangle, we can use the property of exterior angles.
The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. In this case, the exterior angle is given as \( 152^\circ \) and corresponds to the interior angles \( x \) and the right angle (which is \( 90^\circ \)).
According to the exterior angle theorem:
\[ \text{Exterior Angle} = \text{Angle 1} + \text{Angle 2} \]
So we have:
\[ 152^\circ = x + 90^\circ \]
To find \( x \), we subtract \( 90^\circ \) from \( 152^\circ \):
\[ x = 152^\circ - 90^\circ = 62^\circ \]
Therefore, the measure of angle \( x \) is:
62°