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  # Find the value of x from the following figure : "
  
  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°.
  
  Tutorialspoint
  
  Simply Easy Learning
  
  Updated on: 10-Oct-2022
  
  34 Views