Question

what is x?
x =

Explanation:

Step1: Find the value of \( y \)

Since \( y \) and \( 124^{\circ} \) are supplementary angles (they form a linear pair), we use the formula \( y+124^{\circ}=180^{\circ} \).

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Step2: Use the property of parallel lines (assuming the vertical lines are parallel) and the sum of angles in a triangle - like structure

The sum of angles around the intersection of the non - vertical lines (using the concept that if we consider the angles formed by the transversal with the parallel lines and the triangle - like angle sum).
We know that \( x = 39^{\circ}+42^{\circ}+56^{\circ}\) (by the exterior angle property or the angle - chasing in the parallel - line and transversal setup).

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Answer:

\(137\)