In a triangle, the sum of the angles is always 180 degrees. Since one angle in the right triangle is 90 degrees (the right angle) and another angle is 36 degrees, you can find the measure of the third angle as follows:
\[ \text{Third angle} = 180^\circ - (90^\circ + 36^\circ) \] \[ \text{Third angle} = 180^\circ - 126^\circ \] \[ \text{Third angle} = 54^\circ \]
So, the measure of the third angle is 54 degrees.