text: "
  ">
  
  # 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
explanation: The document provides a math problem and its solution. It starts with a question asking for the value of \( x \) in a quadrilateral, and then it proceeds to solve the problem step-by-step, ultimately finding that \( x = 150° \).
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: "
  ">
  
  # 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
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document provides a math problem and its solution. It starts with a question asking for the value of \( x \) in a quadrilateral, and then it proceeds to solve the problem step-by-step, ultimately finding that \( x = 150° \).
  
  Label: question-and-answer