Question
In the given figure, if $x=2 y$, find $x$ and $y$
✓
Answer
$x^{\circ}+y^{\circ}=180^{\circ}$.......(straight angle)
But $x=2 y$ .....(given)
$\therefore 2 y + y =180^{\circ} $
$\Rightarrow 3 y =180^{\circ} $
$\Rightarrow y =\frac{180^{\circ}}{3}=60^{\circ}$
Hence $y=60^{\circ}$
and $x=2 y=2 \times 60^{\circ}=120^{\circ}$
But $x=2 y$ .....(given)
$\therefore 2 y + y =180^{\circ} $
$\Rightarrow 3 y =180^{\circ} $
$\Rightarrow y =\frac{180^{\circ}}{3}=60^{\circ}$
Hence $y=60^{\circ}$
and $x=2 y=2 \times 60^{\circ}=120^{\circ}$
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