math

• Parallel lines


  Coplanar lines that do not intersect
• Transversal


  A line that intersects two or more other lines at different points
• Angles formed by parallel lines cut by a transversal


  • Corresponding angles
  • Alternate interior angles
  • Alternate exterior angles
  • Interior angles on the same side
  • Exterior angles on the same side
• Corresponding angles


  • Pair of angles that are equal in measure
• Alternate interior angles


  • Pair of angles on opposite sides of the transversal and inside the parallel lines
• Alternate exterior angles


  • Pair of angles on opposite sides of the transversal and outside the parallel lines
• Interior angles on the same side

  • Pair of angles on the same side of the transversal and inside the parallel lines
• Exterior angles on the same side

  • Pair of angles on the same side of the transversal and outside the parallel lines
• Corresponding angles


  Are congruent
• Alternate interior angles


  Are congruent
• Alternate exterior angles


  Are congruent
• Interior angles on the same side


  Are supplementary
• Exterior angles on the same side


  Are supplementary
• Finding angle measures


  1. Apply angle pair relationships

  2. Use linear pairs and vertical angles

  3. Use triangle properties
• Angle measures


  • Angle 3 = 74°
  • Angle 4 = 106°
  • Angle x = 30°
  • Angle z = 38°
  • Angle a = 62°
  • Angle b = 66°
  • Angle c = 66°
  • Angle d = 62°
  • Angle e = 62°