Question

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

• A. $5$
• B. $4$
• C. $4\frac{1}{2}$
• D. $3\frac{1}{4}$

Answer 1

The correct option is B $4$

For the lines $m$ and $n$ to be parallel, corresponding angles should be equal, i.e, $\angle 1=\angle 5$

$\Rightarrow$ $26x-7^{\circ }=20x+{17}^{\circ }$

$\Rightarrow$ $6x={24}^{\circ }$

$\Rightarrow$ $x=4^{\circ }$