In Figure, AOC is a line, find x. - Vidyadip

Question

In Figure, AOC is a line, find x.

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Answer

$\angle \text{AOB}+\angle \text{BOC}=180^\circ$
Linear pair,
$\Rightarrow 2\text{x}+70^\circ=180^\circ$
$\Rightarrow 2\text{x}=180^\circ-70^\circ$
$\Rightarrow 2\text{x}=110^\circ$
$\Rightarrow \text{x}=\frac{110^\circ}{2}$
$\Rightarrow \text{x}=55^\circ$

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