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Step1: Recall angle - sum property
The two non - overlapping angles $x^{\circ}$ and $68^{\circ}$ form a right - angle which is $90^{\circ}$. So, $x + 68=90$.
Step2: Solve for $x$
Subtract 68 from both sides of the equation: $x=90 - 68$.
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$x = 22$