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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 829 · 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 24° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 37°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.What is the supplement of 45° (in degrees)?
  5. 5.Are 14° and 166° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its alternate interior angle (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 150°. What is the angle next to it on the same line (in degrees)?
  8. 8.What is the complement of 14° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 36°. What is the angle next to it on the same line (in degrees)?
  10. 10.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two angles are supplementary. One is 94° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its alternate interior angle (in degrees)?
  13. 13.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  15. 15.Are 13° and 77° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  16. 16.What is the complement of 62° (in degrees)?
  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.What is the complement of 10° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 98°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its alternate interior angle (in degrees)?
  21. 21.Are 27° and 42° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  22. 22.Are 22° and 40° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  23. 23.Are 48° and 42° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  24. 24.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the complement of 69° (in degrees)?
  26. 26.What is the complement of 19° (in degrees)?
  27. 27.Are 58° and 32° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.What is the complement of 32° (in degrees)?
  29. 29.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the complement of 72° (in degrees)?
  32. 32.What is the supplement of 54° (in degrees)?
  33. 33.What is the complement of 16° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One angle is 79°. What is its corresponding angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 29°. What is the angle next to it on the same line (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 72°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Are 23° and 157° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  38. 38.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  39. 39.Are 13° and 167° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  40. 40.Are 13° and 58° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary

Answer key

  1. 66
  2. 143
  3. 30
  4. 135
  5. Supplementary
  6. 86
  7. 30
  8. 76
  9. 144
  10. 74
  11. 137
  12. 114
  13. 142
  14. 60
  15. Complementary
  16. 28
  17. 25
  18. 80
  19. 98
  20. 117
  21. Neither
  22. Neither
  23. Complementary
  24. 115
  25. 21
  26. 71
  27. Complementary
  28. 58
  29. 144
  30. 49
  31. 18
  32. 126
  33. 74
  34. 79
  35. 151
  36. 108
  37. Supplementary
  38. 65
  39. Supplementary
  40. Neither

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