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. 1.

   Bo rides a bike past two parallel paths crossed by a trail. Angle 4 is 115°. How many degrees is angle 5?

   115
2. 2.

   Noah watches a toy train on two parallel rails crossed by a road. Angle 1 is 102°. How many degrees is angle 7?

   78
3. 3.

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

   71
4. 4.

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

   104
5. 5.

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

   113
6. 6.

   Esme sees a ladder's parallel rails crossed by a strap. Which statement is true about angle 3 and angle 5?

   • They add to 180°: they are same-side interior angles
   • Equal: they are alternate interior angles
   • They add to 180°: they are same-side exterior angles
7. 7.

   Luz watches a toy train on two parallel rails crossed by a road. Angle 3 is (2x + 10)° and angle 6 is 70°. What is x?

   30
8. 8.

   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
9. 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. 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?

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