To find the measure of the reflex angle \( g \), we start with the fact that the sum of the angles around a point is \( 360° \).
Given that \( g \) and \( 70° \) are two angles formed by the same vertex, we can express the relationship as follows:
\[ g + 70° = 360° \]
To find \( g \), we solve for \( g \):
\[ g = 360° - 70° \] \[ g = 290° \]
Thus, the measure of the reflex angle \( g \) is \( 290° \).