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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 382 · 40 sums
TalentJR

The method (90, 180, equal): Complement of a = 90 − a. Supplement of a = 180 − a. Lines crossing: vertically opposite angles are equal; a linear pair adds up to 180°. Parallel lines: corresponding angles equal, alternate interior angles equal, interior angles on the same side add up to 180°. One angle d° more than the other: bigger = (total + d) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 49°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 147°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the supplement of 161° (in degrees)?
  5. 5.What is the complement of 37° (in degrees)?
  6. 6.What is the complement of 34° (in degrees)?
  7. 7.What is the complement of 49° (in degrees)?
  8. 8.What is the complement of 76° (in degrees)?
  9. 9.What is the complement of 81° (in degrees)?
  10. 10.Are 67° and 124° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  11. 11.Two parallel lines are cut by a transversal. One angle is 97°. What is its corresponding angle (in degrees)?
  12. 12.What is the complement of 27° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  14. 14.What is the complement of 59° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 73°. What is its corresponding angle (in degrees)?
  16. 16.Are 23° and 67° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.Two straight lines cross each other. One of the angles formed is 35°. What is the angle next to it on the same line (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 108°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the complement of 24° (in degrees)?
  21. 21.Are 18° and 5° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  22. 22.Two straight lines cross each other. One of the angles formed is 31°. What is the angle next to it on the same line (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 87°. What is the angle vertically opposite to it (in degrees)?
  24. 24.What is the supplement of 84° (in degrees)?
  25. 25.What is the complement of 25° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 119°. What is the angle next to it on the same line (in degrees)?
  28. 28.What is the complement of 18° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its alternate interior angle (in degrees)?
  30. 30.What is the complement of 10° (in degrees)?
  31. 31.What is the complement of 19° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 89°. What is the angle next to it on the same line (in degrees)?
  33. 33.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  34. 34.Are 15° and 118° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  35. 35.What is the complement of 50° (in degrees)?
  36. 36.What is the complement of 65° (in degrees)?
  37. 37.What is the supplement of 158° (in degrees)?
  38. 38.Are 27° and 157° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  39. 39.Two straight lines cross each other. One of the angles formed is 137°. What is the angle next to it on the same line (in degrees)?
  40. 40.What is the complement of 57° (in degrees)?

Answer key

  1. 35
  2. 49
  3. 147
  4. 19
  5. 53
  6. 56
  7. 41
  8. 14
  9. 9
  10. Neither
  11. 97
  12. 63
  13. 61
  14. 31
  15. 73
  16. Complementary
  17. 145
  18. 72
  19. 77
  20. 66
  21. Neither
  22. 149
  23. 87
  24. 96
  25. 65
  26. 121
  27. 61
  28. 72
  29. 150
  30. 80
  31. 71
  32. 91
  33. 138
  34. Neither
  35. 40
  36. 25
  37. 22
  38. Neither
  39. 43
  40. 33

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