Mathematics

Lines $$m$$ and $$n$$ are cut by a transversal so that $$\angle 1$$ and $$\angle 5$$ are corresponding angles. If $$\angle 1=26x-{7}^{o}$$ and $$\angle 5=20x+{17}^{o}$$. What value of $$x$$ makes the lines $$m$$ and $$n$$ parallel?


ANSWER

$$4$$


SOLUTION
For the lines $$m$$ and $$n$$ to be parallel corresponding angles should be equal, i.e,
$$\angle 1=\angle 5$$
$$\Rightarrow$$ $$26x-{7}^{o}=20x+{17}^{o}$$
$$\Rightarrow$$ $$6x={24}^{o}$$ $$\Rightarrow$$ $$x={4}^{o}$$
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