Question
Find $x$ in the following case:
✓
Answer
In the figure,
From 0, draw a line parallel to the given parallel lines
$\therefore \angle 1=4 x$ and $\angle 2=6 x$ ..........(corresponding angles)
But $\angle 1+\angle 2=130^{\circ}$
$ \Rightarrow 4 \mathrm{x}+6 \mathrm{x}=130^{\circ} $
$ \Rightarrow 10 x=130^{\circ} $
$ \therefore x=\frac{130^{\circ}}{10}=13^{\circ} $
From 0, draw a line parallel to the given parallel lines
$\therefore \angle 1=4 x$ and $\angle 2=6 x$ ..........(corresponding angles)
But $\angle 1+\angle 2=130^{\circ}$
$ \Rightarrow 4 \mathrm{x}+6 \mathrm{x}=130^{\circ} $
$ \Rightarrow 10 x=130^{\circ} $
$ \therefore x=\frac{130^{\circ}}{10}=13^{\circ} $
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