Question
Find $x$ in the following case:
✓
Answer
In the figure,
$\because$ Lines are parallel
$\therefore 2 x+5^{\circ}+3 x+55^{\circ}=180^{\circ}$............. (co-interior angles)
$ \Rightarrow 5 \mathrm{x}+60^{\circ}=180^{\circ} $
$ \Rightarrow 5 \mathrm{x}=180^{\circ}-60^{\circ}=120^{\circ} $
$ \therefore x=\frac{120^{\circ}}{5}=24^{\circ} $
Hence $x=24^{\circ}$
$\because$ Lines are parallel
$\therefore 2 x+5^{\circ}+3 x+55^{\circ}=180^{\circ}$............. (co-interior angles)
$ \Rightarrow 5 \mathrm{x}+60^{\circ}=180^{\circ} $
$ \Rightarrow 5 \mathrm{x}=180^{\circ}-60^{\circ}=120^{\circ} $
$ \therefore x=\frac{120^{\circ}}{5}=24^{\circ} $
Hence $x=24^{\circ}$
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