Angles made by a line crossing parallel lines

Grade 8 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

  1. Milo draws two parallel lines and a crossing line on paper. Angle 6 is 127°. How many degrees is angle 4?

  2. Ren draws two parallel lines and a crossing line with a pencil. Angle 1 is 109°. How many degrees is angle 6?

  3. Tala rides a bike past two parallel paths crossed by a trail. Angle 2 is 76°. How many degrees is angle 5?

  4. Zee draws two parallel lines and a crossing line with a crayon. Angle 3 is 67°. How many degrees is angle 8?

  5. Jun draws two parallel lines and a crossing line on paper. Which statement is true about angle 2 and angle 7?

    • Equal: they are corresponding angles
    • They add to 180°: they are same-side exterior angles
    • Equal: they are alternate exterior angles
  6. Milo draws two parallel lines and a crossing line with a pencil. Angle 1 is (3x − 6)° and angle 5 is 66°. What is x?

  7. Noah rides a bike past two parallel paths crossed by a trail. Angle 4 is (4x + 8)° and angle 8 is 108°. What is x?

  8. Pia rides a bike past two parallel paths crossed by a trail. Angle 6 is (3x + 18)° and angle 4 is 114°. What is x?

  9. Tala sees a ladder's parallel rails crossed by a strap. Angle 2 is (4x − 12)° and angle 8 is 100°. What is x?

  10. Zee draws two parallel lines and a crossing line with a crayon. The crossing line is square to the parallel lines, so angle 2 is 90°. How many degrees is angle 7?

    • 45°: half of a square corner
    • 180°: angles 2 and 7 lie along one line
    • 90°: it matches angle 2, a square corner
PencilGopencilgo.com

Angles made by a line crossing parallel lines

Answer Key - Grade 8 Math Worksheet

Circle the best answer, or write your answer on the line.

  1. Milo draws two parallel lines and a crossing line on paper. Angle 6 is 127°. How many degrees is angle 4?

    53
  2. Ren draws two parallel lines and a crossing line with a pencil. Angle 1 is 109°. How many degrees is angle 6?

    71
  3. Tala rides a bike past two parallel paths crossed by a trail. Angle 2 is 76°. How many degrees is angle 5?

    104
  4. Zee draws two parallel lines and a crossing line with a crayon. Angle 3 is 67°. How many degrees is angle 8?

    113
  5. Jun draws two parallel lines and a crossing line on paper. Which statement is true about angle 2 and angle 7?

    • Equal: they are corresponding angles
    • They add to 180°: they are same-side exterior angles
    • Equal: they are alternate exterior angles
  6. Milo draws two parallel lines and a crossing line with a pencil. Angle 1 is (3x − 6)° and angle 5 is 66°. What is x?

    24
  7. Noah rides a bike past two parallel paths crossed by a trail. Angle 4 is (4x + 8)° and angle 8 is 108°. What is x?

    25
  8. Pia rides a bike past two parallel paths crossed by a trail. Angle 6 is (3x + 18)° and angle 4 is 114°. What is x?

    16
  9. Tala sees a ladder's parallel rails crossed by a strap. Angle 2 is (4x − 12)° and angle 8 is 100°. What is x?

    23
  10. Zee draws two parallel lines and a crossing line with a crayon. The crossing line is square to the parallel lines, so angle 2 is 90°. How many degrees is angle 7?

    • 45°: half of a square corner
    • 180°: angles 2 and 7 lie along one line
    • 90°: it matches angle 2, a square corner