Question 58

In the figure given below, find the value of $$(x - y)$$.

image

Solution

The three lines meet at one point. Above the horizontal line, the $$68^\circ$$ angle, the angle between the two slanting lines and the $$39^\circ$$ angle form a straight angle, so the angle between the slanting lines is $$180^\circ - 68^\circ - 39^\circ = 73^\circ$$, and $$x$$ is vertically opposite to it, giving $$x = 73$$. The angle $$y$$ is vertically opposite to the $$68^\circ$$ angle, so $$y = 68$$. Hence $$x - y = 73 - 68 = 5$$.

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