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Find the value of x from the following figure :
"
Given :
The quadrilateral ABCD is given.
To do :
We have to find the value of x.
Solution :
$$Sum of the angles in a quadrilateral is 360°$$.
Therefore,
$45°+50°+55°+ ∠ADC = 360°$ [Here, $∠ADC$ is the angle opposite to $∠x$]
$∠ADC = 360° - 150°$
$∠ADC = 210°$
We know that,
Sum of the angles about a point is 360° .
Therefore,
$∠ADC+∠x = 360°$
$210° + ∠x = 360° $
$∠x = 360° -210°$
$∠x = 150°$.
The measure of angle x is 150°.
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