text: The first angle is 6x and its vertical angle is 4x + 20. What is the measure of the angle and the adjacent angle?
  
  2
  by ThegEEK
  
  2015-11-30T17:54:12+08:00
  6x = 4x +20
  2x = 20
  x = 10
  6 (10) = 60 = First angle
  180 minus First angle =Adjacent angle
  
  gosh...thanks a lot
  • Brainly User
  2015-12-01T14:55:30+08:00
  Vertical angles are congruent.
  First Angle: 6x
  Second Angle: 4x + 20
  First and Second angles are vertical, therefore they are congruent.
  
  Equate 6x and 4x + 20 to solve for x:
  6x = 4x + 20
  6x - 4x = 20
  2x = 20
  2x/2 = 20/2
  x = 10
  
  Substitute 5 for x:
  First angle: 6x ⇒  6 (10) = 60°
  Second angle: 4x + 20  ⇒  4(10) + 20 = 40 + 20 = 60°
explanation: The document contains a math question about finding the measure of an angle and its adjacent angle, given the expressions for the angle and its vertical angle. The document also includes a detailed answer to the question, showing the steps to solve for the value of x and then finding the measures of the angles.
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: The first angle is 6x and its vertical angle is 4x + 20. What is the measure of the angle and the adjacent angle?
  
  2
  by ThegEEK
  
  2015-11-30T17:54:12+08:00
  6x = 4x +20
  2x = 20
  x = 10
  6 (10) = 60 = First angle
  180 minus First angle =Adjacent angle
  
  gosh...thanks a lot
  • Brainly User
  2015-12-01T14:55:30+08:00
  Vertical angles are congruent.
  First Angle: 6x
  Second Angle: 4x + 20
  First and Second angles are vertical, therefore they are congruent.
  
  Equate 6x and 4x + 20 to solve for x:
  6x = 4x + 20
  6x - 4x = 20
  2x = 20
  2x/2 = 20/2
  x = 10
  
  Substitute 5 for x:
  First angle: 6x ⇒  6 (10) = 60°
  Second angle: 4x + 20  ⇒  4(10) + 20 = 40 + 20 = 60°
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question about finding the measure of an angle and its adjacent angle, given the expressions for the angle and its vertical angle. The document also includes a detailed answer to the question, showing the steps to solve for the value of x and then finding the measures of the angles.
  
  Label: question-and-answer