Calculate X in a Circular Segment: Solving 20+X and 30+X Angle Problem

To solve this problem, we must assess the angle conditions based on both geometry and algebra expressed in $20 + X$ and $30 + X$. Without the diagram, it's speculative, but the variable forms suggest each is part of a broader geometrical property (like supplementary angles, corresponding angles, etc.). However, without specific intersecting constructs or additional angle measures, concluding precisely is challenging. Thus, the given situation can't sufficiently determine $X$ solely with the algebra derived. Therefore, based on given information, the problem is best answered as having conditions where the value of $X$
Cannot be calculated.