Question: 20. Which angles form a pair of consecutive (same side) interior angles? [Diagram] - Two lines \(…

20. Which angles form a pair of consecutive (same side) interior angles?

[Diagram]

• Two lines \( m \) and \( n \) are intersected by a transversal line \( b \).
• Angles are labeled as follows:
  • Angle 1
  • Angle 2
  • Angle 3
  • Angle 4
  • Angle 5
  • Angle 6
  • Angle 7
  • Angle 8

Options:

• \(\angle 1\)
• \(\angle 2\)
• \(\angle 3\)
• \(\angle 4\)
• \(\angle 5\)
• \(\angle 6\)

Solution

To determine which angles form a pair of consecutive (same side) interior angles, we need to look at angles that are on the same side of the transversal and between the two parallel lines. In the diagram: - Line \( m \) and line \( n \) are parallel. - Line \( b \) is the transversal. The pairs of consecutive interior angles are: - \(\angle 2\) and \(\angle 3\) - \(\angle 6\) and \(\angle 7\) These angles are on the same side of the transversal (line \( b \)) and lie in between the parallel lines \( m \) and \( n \).