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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 243 · 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 68° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 50°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the complement of 16° (in degrees)?
  6. 6.What is the complement of 9° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.What is the complement of 56° (in degrees)?
  9. 9.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the complement of 23° (in degrees)?
  11. 11.What is the supplement of 19° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 57°. What is its corresponding angle (in degrees)?
  13. 13.What is the complement of 45° (in degrees)?
  14. 14.What is the supplement of 138° (in degrees)?
  15. 15.Two angles are supplementary. One is 132° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the supplement of 142° (in degrees)?
  17. 17.What is the supplement of 100° (in degrees)?
  18. 18.Are 53° and 11° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  19. 19.Two angles are supplementary. One is 94° more than the other. What is the bigger angle (in degrees)?
  20. 20.Are 64° and 103° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  21. 21.What is the complement of 79° (in degrees)?
  22. 22.What is the complement of 39° (in degrees)?
  23. 23.Are 13° and 65° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  24. 24.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two angles are supplementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 119°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 60°. What is the angle next to it on the same line (in degrees)?
  30. 30.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the supplement of 127° (in degrees)?
  35. 35.Are 63° and 117° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its alternate interior angle (in degrees)?
  37. 37.Two angles are supplementary. One is 76° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the complement of 77° (in degrees)?
  39. 39.Are 17° and 89° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.Are 42° and 138° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither

Answer key

  1. 22
  2. 50
  3. 68
  4. 109
  5. 74
  6. 81
  7. 82
  8. 34
  9. 75
  10. 67
  11. 161
  12. 57
  13. 45
  14. 42
  15. 156
  16. 38
  17. 80
  18. Neither
  19. 137
  20. Neither
  21. 11
  22. 51
  23. Neither
  24. 54
  25. 121
  26. 47
  27. 119
  28. 52
  29. 120
  30. 78
  31. 80
  32. 71
  33. 118
  34. 53
  35. Supplementary
  36. 67
  37. 128
  38. 13
  39. Neither
  40. Supplementary

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