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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 751 · 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 complement of 36° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its alternate interior angle (in degrees)?
  3. 3.What is the supplement of 100° (in degrees)?
  4. 4.What is the complement of 10° (in degrees)?
  5. 5.Are 62° and 118° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  6. 6.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the supplement of 116° (in degrees)?
  8. 8.Are 73° and 17° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  9. 9.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  10. 10.What is the supplement of 21° (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 146°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 98°. What is its corresponding angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 103°. What is its alternate interior angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 42°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 30°. What is the angle next to it on the same line (in degrees)?
  16. 16.Are 24° and 156° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  17. 17.Two straight lines cross each other. One of the angles formed is 25°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Are 30° and 117° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  19. 19.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 41°. What is the angle next to it on the same line (in degrees)?
  22. 22.What is the supplement of 136° (in degrees)?
  23. 23.Are 32° and 58° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  24. 24.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the supplement of 64° (in degrees)?
  26. 26.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 132° (in degrees)?
  29. 29.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 157° (in degrees)?
  31. 31.Are 33° and 146° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  32. 32.What is the supplement of 47° (in degrees)?
  33. 33.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the complement of 24° (in degrees)?
  35. 35.Are 64° and 26° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.Two straight lines cross each other. One of the angles formed is 144°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the complement of 83° (in degrees)?
  38. 38.Are 38° and 142° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.What is the supplement of 154° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 103°. What is its corresponding angle (in degrees)?

Answer key

  1. 54
  2. 67
  3. 80
  4. 80
  5. Supplementary
  6. 123
  7. 64
  8. Complementary
  9. 24
  10. 159
  11. 34
  12. 98
  13. 103
  14. 138
  15. 150
  16. Supplementary
  17. 25
  18. Neither
  19. 70
  20. 57
  21. 139
  22. 44
  23. Complementary
  24. 77
  25. 116
  26. 68
  27. 61
  28. 48
  29. 65
  30. 23
  31. Neither
  32. 133
  33. 49
  34. 66
  35. Complementary
  36. 144
  37. 7
  38. Supplementary
  39. 26
  40. 103

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