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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 211 · 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.Are 38° and 5° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  2. 2.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  4. 4.Are 78° and 16° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  5. 5.Two straight lines cross each other. One of the angles formed is 68°. What is the angle vertically opposite to it (in degrees)?
  6. 6.What is the complement of 32° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 72°. What is its alternate interior angle (in degrees)?
  9. 9.What is the supplement of 82° (in degrees)?
  10. 10.Are 41° and 48° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  11. 11.Are 57° and 123° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  12. 12.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 101°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 58°. What is its corresponding angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 92°. What is its alternate interior angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 29°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  19. 19.Are 29° and 151° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  20. 20.What is the supplement of 59° (in degrees)?
  21. 21.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the complement of 75° (in degrees)?
  23. 23.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the complement of 38° (in degrees)?
  25. 25.What is the complement of 23° (in degrees)?
  26. 26.Are 21° and 101° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  27. 27.Two straight lines cross each other. One of the angles formed is 40°. What is the angle next to it on the same line (in degrees)?
  28. 28.What is the complement of 20° (in degrees)?
  29. 29.What is the complement of 21° (in degrees)?
  30. 30.Are 15° and 165° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the complement of 47° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 132°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 103°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.Two angles are supplementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  37. 37.Are 46° and 44° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  38. 38.Two parallel lines are cut by a transversal. One angle is 121°. What is its corresponding angle (in degrees)?
  39. 39.What is the supplement of 9° (in degrees)?
  40. 40.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. Neither
  2. 110
  3. 79
  4. Neither
  5. 68
  6. 58
  7. 119
  8. 72
  9. 98
  10. Neither
  11. Supplementary
  12. 59
  13. 79
  14. 53
  15. 58
  16. 92
  17. 29
  18. 78
  19. Supplementary
  20. 121
  21. 150
  22. 15
  23. 68
  24. 52
  25. 67
  26. Neither
  27. 140
  28. 70
  29. 69
  30. Supplementary
  31. 72
  32. 56
  33. 43
  34. 48
  35. 77
  36. 121
  37. Complementary
  38. 121
  39. 171
  40. 157

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