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
412
D
314

Solution

## The correct option is B $$4$$For the lines $$m$$ and $$n$$ to be parallel, corresponding angles should be equal, i.e, $$\angle 1=\angle 5$$$$\Rightarrow$$ $$26x-{7}^{\circ}=20x+{17}^{\circ}$$$$\Rightarrow$$ $$6x={24}^{\circ}$$ $$\Rightarrow$$ $$x={4}^{\circ}$$Mathematics

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