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Angles with parallel lines

8th grade (Year 9 in England) · 16 questions · Common Core: 8.G.A.5 · England: KS3 Geometry, GCSE Foundation Geometry

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Date

Score/ 16

  1. Question 1

    A line crosses two parallel lines. One angle is 57°. What is the co-interior (same-side interior) angle to it, in degrees?

    Answer

  2. Question 2

    Alternate angles on parallel lines are (4x + 4)° and 100°. Find x.

    x =

  3. Question 3

    A line crosses two parallel lines. One angle is 43°. What is the corresponding angle to it, in degrees?

    Answer

  4. Question 4

    Alternate angles on parallel lines are (2x + 8)° and 58°. Find x.

    x =

  5. Question 5

    A line crosses two parallel lines. One angle is 122°. What is the co-interior (same-side interior) angle to it, in degrees?

    Answer

  6. Question 6

    Alternate angles on parallel lines are (2x + 13)° and 71°. Find x.

    x =

  7. Question 7

    A line crosses two parallel lines. One angle is 78°. What is the corresponding angle to it, in degrees?

    Answer

  8. Question 8

    Alternate angles on parallel lines are (4x + 25)° and 129°. Find x.

    x =

  9. Question 9

    A line crosses two parallel lines. One angle is 96°. What is the alternate angle to it, in degrees?

    Answer

  10. Question 10

    Alternate angles on parallel lines are (4x + 30)° and 166°. Find x.

    x =

  11. Question 11

    A line crosses two parallel lines. One angle is 54°. What is the co-interior (same-side interior) angle to it, in degrees?

    Answer

  12. Question 12

    Alternate angles on parallel lines are (2x + 15)° and 69°. Find x.

    x =

  13. Question 13

    A line crosses two parallel lines. One angle is 108°. What is the corresponding angle to it, in degrees?

    Answer

  14. Question 14

    Alternate angles on parallel lines are (3x + 19)° and 73°. Find x.

    x =

  15. Question 15

    A line crosses two parallel lines. One angle is 37°. What is the corresponding angle to it, in degrees?

    Answer

  16. Question 16

    Alternate angles on parallel lines are (2x + 18)° and 74°. Find x.

    x =

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Answer key: Angles with parallel lines

  1. 1. 123

  2. 2. x = 24

  3. 3. 43

  4. 4. x = 25

  5. 5. 58

  6. 6. x = 29

  7. 7. 78

  8. 8. x = 26

  9. 9. 96

  10. 10. x = 34

  11. 11. 126

  12. 12. x = 27

  13. 13. 108

  14. 14. x = 18

  15. 15. 37

  16. 16. x = 28