Find the measure of the missing angle

Pertaining to the image displayed and provided, the retort to the interrogate is acknowledged as the following:

The degree of the angle is fixed on a 90 degree angle.
- One of the angles positioned is 24 degrees.

When interpreted, it is understood that the other angle must be equivalent to 90 degrees when added by 24 degrees because they are stationed within a perpendicular angle whose cumulative degree congregate is observed as 90 degrees.

Expressing the mentioned above as a mathematical statement:

X + 24 = 90
X = 66.

Thus, x’s magnitude vector is measured as 66 degrees, according to the perpendicular symmetry depiction displayed and the measure of the other angle, respectively.