Mathematics

Find the values of the unknowns $$x$$ and $$y$$ in the figure (i).


ANSWER

$$x=70, y=60$$


SOLUTION
$$y=120=180$$, since they form a straight line.

Therefore, $$y=180-120$$

$$\Rightarrow y=60$$

$$x+y+50=180$$, since they form a triangle

$$x+60+50=180$$

$$x=180-60-50$$

$$\Rightarrow x=70$$
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