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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 138 · 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.What is the supplement of 9° (in degrees)?
  2. 2.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 129°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 51°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.What is the supplement of 113° (in degrees)?
  6. 6.What is the complement of 14° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 122°. What is its corresponding angle (in degrees)?
  8. 8.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 40°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 44°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the complement of 8° (in degrees)?
  12. 12.Are 75° and 15° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  13. 13.What is the supplement of 67° (in degrees)?
  14. 14.Are 67° and 113° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  15. 15.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 40° and 140° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  17. 17.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the supplement of 159° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 103°. What is the angle vertically opposite to it (in degrees)?
  20. 20.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)?
  21. 21.What is the complement of 24° (in degrees)?
  22. 22.What is the supplement of 135° (in degrees)?
  23. 23.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 130°. What is its corresponding angle (in degrees)?
  25. 25.Are 29° and 151° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  26. 26.Are 76° and 104° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 33°. What is its alternate interior angle (in degrees)?
  28. 28.Are 71° and 19° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  29. 29.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its alternate interior angle (in degrees)?
  31. 31.What is the complement of 72° (in degrees)?
  32. 32.What is the complement of 42° (in degrees)?
  33. 33.What is the complement of 32° (in degrees)?
  34. 34.What is the supplement of 14° (in degrees)?
  35. 35.Are 40° and 50° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  36. 36.What is the supplement of 21° (in degrees)?
  37. 37.What is the supplement of 171° (in degrees)?
  38. 38.What is the complement of 79° (in degrees)?
  39. 39.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two angles are supplementary. One is 136° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 171
  2. 131
  3. 129
  4. 129
  5. 67
  6. 76
  7. 122
  8. 99
  9. 140
  10. 44
  11. 82
  12. Complementary
  13. 113
  14. Supplementary
  15. 64
  16. Supplementary
  17. 61
  18. 21
  19. 103
  20. 35
  21. 66
  22. 45
  23. 91
  24. 130
  25. Supplementary
  26. Supplementary
  27. 33
  28. Complementary
  29. 153
  30. 65
  31. 18
  32. 48
  33. 58
  34. 166
  35. Complementary
  36. 159
  37. 9
  38. 11
  39. 119
  40. 158

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