Question
In figure, find the value of $x.$
✓
Answer
$\angle\text{AOE}=\angle\text{BOF}=5\text{x}$ [vertically opposite angle] $\angle\text{COA}+\angle\text{AOE}+\angle\text{EOD}=180^\circ$ [linear pair]
$\Rightarrow 3x + 5x + 2x = 180^\circ $
$\Rightarrow 10x = 180^\circ $
$\Rightarrow x = 18^\circ$
$\Rightarrow 3x + 5x + 2x = 180^\circ $
$\Rightarrow 10x = 180^\circ $
$\Rightarrow x = 18^\circ$
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