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.

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

   78
2. 2.

   Pia draws two parallel lines and a crossing line with a pencil. Angle 8 is 84°. How many degrees is angle 2?

   96
3. 3.

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

   113
4. 4.

   Ari sees a ladder's parallel rails crossed by a strap. Angle 4 is 138°. How many degrees is angle 7?

   42
5. 5.

   Bo draws two parallel lines and a crossing line with a crayon. Which statement is true about angle 3 and angle 6?

   • Equal: they are corresponding angles
   • They add to 180°: they are same-side interior angles
   • Equal: they are alternate interior angles
6. 6.

   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
   • Equal: they are alternate exterior 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.

   Ren draws two parallel lines and a crossing line with a crayon. Angle 3 is (2x − 8)° and angle 5 is 84°. What is x?

   52
10. 9.

    Noah draws two parallel lines and a crossing line on paper. Angle 3 is 72°. Which list shows every other angle that is also 72°?

    • Angles 2 and 7
    • Angles 1, 4, 5 and 8
    • Angles 2, 6 and 7
11. 10.

    Tala draws two parallel lines and a crossing line with a pencil. Angle 4 is 104°. Which list shows every other angle that is also 104°?

    Use the picture in question 9.

    • Angles 2, 3, 6 and 7
    • Angles 1 and 8
    • Angles 1, 5 and 8