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?

$4$

##### 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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Single Correct Medium Published on 09th 09, 2020
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