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In the given figure, the value of $$x$$ is
The vertical ray is perpendicular to the horizontal line, so the slanting line makes $$90^\circ - 42^\circ = 48^\circ$$ with the horizontal line on the upper left. The angle $$x$$ lies between the same horizontal line and the other part of the slanting line, so it forms a linear pair with that $$48^\circ$$ angle. Hence $$x = 180 - 48 = 132$$.
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