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The angle $$y$$ is vertically opposite to the $$75^\circ$$ angle between the two crossing lines, so $$y = 75^\circ$$. The angle between the upper-right and lower-right arms of the crossing lines is $$180^\circ - 75^\circ = 105^\circ$$, and the horizontal ray splits it into $$42^\circ$$ and $$x$$, so $$x = 105^\circ - 42^\circ = 63^\circ$$. Hence $$x + y = 63^\circ + 75^\circ = 138^\circ$$.
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