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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 795 · 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 159°. What is the angle next to it on the same line (in degrees)?
  2. 2.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  3. 3.Are 37° and 22° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  4. 4.Two parallel lines are cut by a transversal. One angle is 35°. What is its corresponding angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 50°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 52°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 7° (in degrees)?
  9. 9.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)?
  10. 10.What is the supplement of 40° (in degrees)?
  11. 11.Are 30° and 60° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  12. 12.What is the complement of 82° (in degrees)?
  13. 13.Are 67° and 134° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  14. 14.What is the supplement of 120° (in degrees)?
  15. 15.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 30° and 82° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  17. 17.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the complement of 28° (in degrees)?
  19. 19.Are 57° and 100° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  20. 20.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 103°. What is its alternate interior angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its alternate interior angle (in degrees)?
  23. 23.What is the complement of 48° (in degrees)?
  24. 24.What is the supplement of 62° (in degrees)?
  25. 25.What is the supplement of 16° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the complement of 69° (in degrees)?
  29. 29.What is the complement of 40° (in degrees)?
  30. 30.What is the complement of 35° (in degrees)?
  31. 31.What is the complement of 70° (in degrees)?
  32. 32.Are 24° and 156° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  33. 33.What is the supplement of 170° (in degrees)?
  34. 34.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the complement of 38° (in degrees)?
  36. 36.What is the complement of 34° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 25°. What is the angle next to it on the same line (in degrees)?
  38. 38.Are 74° and 45° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  39. 39.Two straight lines cross each other. One of the angles formed is 74°. What is the angle vertically opposite to it (in degrees)?
  40. 40.What is the supplement of 34° (in degrees)?

Answer key

  1. 21
  2. 94
  3. Neither
  4. 35
  5. 130
  6. 128
  7. 51
  8. 83
  9. 91
  10. 140
  11. Complementary
  12. 8
  13. Neither
  14. 60
  15. 57
  16. Neither
  17. 130
  18. 62
  19. Neither
  20. 118
  21. 103
  22. 78
  23. 42
  24. 118
  25. 164
  26. 26
  27. 143
  28. 21
  29. 50
  30. 55
  31. 20
  32. Supplementary
  33. 10
  34. 150
  35. 52
  36. 56
  37. 155
  38. Neither
  39. 74
  40. 146

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