text: Geometry
  
  # Angles and Lines - Problem Solving
  
  In parallelogram $ABCD$, the green angle $\angle ABC = 58 ^ \circ$. What is the pink angle $\angle ADC$?
  
  In the above diagram, line segment $\overline{AB}$ is parallel to line segment $\overline{CD}.$ If $\alpha={70}^\circ$ and $\beta={28}^\circ,$ then what is the angle $\angle OCD ?$
  
  Given quadrilateral $ABCD$ where $AB$ is parallel to $DC$ and $AC$ and $BD$ intersect at $E$, with $\angle BEC = 58 ^\circ$ and $\angle ACD = 31 ^\circ$, what is $\angle ABE$ (in degrees)?
  
  $L_1$ is parallel to $L_2$ and $\alpha={54}^\circ,$ $\beta={84}^\circ$ and $\gamma={21}^\circ.$ What is the angle $\omega$ in degrees?
  
  Consider a 6 sided star that is formed from 2 triangles as above. What is the sum of the angles at A, B, C, D, E and F?
  
  ×
explanation: The document contains multiple geometry problems involving angles and lines. Each problem presents a specific geometric scenario and asks for the measure of a particular angle or the sum of angles. There are no provided answers to these questions.
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: Geometry
  
  # Angles and Lines - Problem Solving
  
  In parallelogram $ABCD$, the green angle $\angle ABC = 58 ^ \circ$. What is the pink angle $\angle ADC$?
  
  In the above diagram, line segment $\overline{AB}$ is parallel to line segment $\overline{CD}.$ If $\alpha={70}^\circ$ and $\beta={28}^\circ,$ then what is the angle $\angle OCD ?$
  
  Given quadrilateral $ABCD$ where $AB$ is parallel to $DC$ and $AC$ and $BD$ intersect at $E$, with $\angle BEC = 58 ^\circ$ and $\angle ACD = 31 ^\circ$, what is $\angle ABE$ (in degrees)?
  
  $L_1$ is parallel to $L_2$ and $\alpha={54}^\circ,$ $\beta={84}^\circ$ and $\gamma={21}^\circ.$ What is the angle $\omega$ in degrees?
  
  Consider a 6 sided star that is formed from 2 triangles as above. What is the sum of the angles at A, B, C, D, E and F?
  
  ×
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains multiple geometry problems involving angles and lines. Each problem presents a specific geometric scenario and asks for the measure of a particular angle or the sum of angles. There are no provided answers to these questions.
  
  Label: multiple-question