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Step1: Recall angle - sum property of triangle
The sum of interior angles of a triangle is 180°. So, $35^{\circ}+70^{\circ}+x = 180^{\circ}$.
Step2: Simplify the left - hand side
$35 + 70+x=105 + x$. So, $105+x = 180$.
Step3: Solve for x
Subtract 105 from both sides: $x=180 - 105$.
$x = 75^{\circ}$.
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$75^{\circ}$