With ternary plot like this the three axes are not independent of each other.
x+
y+
z always add up to 1, so for a given value there are only one intersection that makes sense.
It should be obvious when you trace the wrong line. For example incorrectly following the 50% methane line downward until you meet the (also incorrect) 30% nitrogen line will leave you with either 70% or 50% oxygen.
To aid with interpretation, the chart's scale are usually not printed perpendicular like your example, but slanted to "continue" the correct lines (ex. oxygen scale should be rotated 30 degree CCW, nitrogen rotated 30 degree more CCW, methane 30 degree more CW).
Because of course there are people who draw the chart the other way around...