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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Updated on: 10-Oct-2022

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