Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

7) give a pair of alternate interior angles, a pair of corresponding an…

Question

  1. give a pair of alternate interior angles, a pair of corresponding angles, and a pair of alternate exterior angles.

Explanation:

Brief Explanations
  • Alternate interior angles: Alternate interior angles are non - adjacent angles that lie between two lines (here \(m\) and \(n\)) and on opposite sides of a transversal (\(h\)). For example, \(\angle3\) and \(\angle6\) (or \(\angle4\) and \(\angle5\)).
  • Corresponding angles: Corresponding angles are in the same relative position with respect to the two lines (\(m\) and \(n\)) and the transversal (\(h\)). For example, \(\angle2\) and \(\angle6\) (or \(\angle1\) and \(\angle5\), \(\angle3\) and \(\angle7\), \(\angle4\) and \(\angle8\)).
  • Alternate exterior angles: Alternate exterior angles are non - adjacent angles that lie outside the two lines (\(m\) and \(n\)) and on opposite sides of the transversal (\(h\)). For example, \(\angle1\) and \(\angle8\) (or \(\angle2\) and \(\angle7\)).

Answer:

  • Alternate interior angles: \(\angle3\) and \(\angle6\) (or \(\angle4\) and \(\angle5\))
  • Corresponding angles: \(\angle2\) and \(\angle6\) (or \(\angle1\) and \(\angle5\), \(\angle3\) and \(\angle7\), \(\angle4\) and \(\angle8\))
  • Alternate exterior angles: \(\angle1\) and \(\angle8\) (or \(\angle2\) and \(\angle7\))