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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 796 · 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 straight lines cross each other. One of the angles formed is 127°. What is the angle next to it on the same line (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 89°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.What is the complement of 74° (in degrees)?
  4. 4.What is the complement of 15° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 79°. What is the angle next to it on the same line (in degrees)?
  7. 7.What is the complement of 13° (in degrees)?
  8. 8.What is the supplement of 89° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 118°. What is the angle next to it on the same line (in degrees)?
  10. 10.Are 14° and 166° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  11. 11.What is the complement of 82° (in degrees)?
  12. 12.Are 73° and 107° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  13. 13.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  14. 14.Are 10° and 170° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  15. 15.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the supplement of 8° (in degrees)?
  17. 17.What is the supplement of 118° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 46°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.What is the complement of 16° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 110°. What is its corresponding angle (in degrees)?
  21. 21.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 79° (in degrees)?
  23. 23.Are 14° and 76° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  24. 24.What is the complement of 48° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 135°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  27. 27.Are 23° and 157° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  28. 28.Are 30° and 150° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  29. 29.What is the complement of 33° (in degrees)?
  30. 30.What is the supplement of 148° (in degrees)?
  31. 31.What is the supplement of 102° (in degrees)?
  32. 32.What is the supplement of 63° (in degrees)?
  33. 33.What is the complement of 66° (in degrees)?
  34. 34.Are 33° and 57° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.Two straight lines cross each other. One of the angles formed is 33°. What is the angle next to it on the same line (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 74°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the supplement of 167° (in degrees)?
  38. 38.Are 19° and 111° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.Are 15° and 75° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.What is the complement of 34° (in degrees)?

Answer key

  1. 53
  2. 91
  3. 16
  4. 75
  5. 73
  6. 101
  7. 77
  8. 91
  9. 62
  10. Supplementary
  11. 8
  12. Supplementary
  13. 67
  14. Supplementary
  15. 47
  16. 172
  17. 62
  18. 134
  19. 74
  20. 110
  21. 66
  22. 101
  23. Complementary
  24. 42
  25. 135
  26. 75
  27. Supplementary
  28. Supplementary
  29. 57
  30. 32
  31. 78
  32. 117
  33. 24
  34. Complementary
  35. 147
  36. 74
  37. 13
  38. Neither
  39. Complementary
  40. 56

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