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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 787 · 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 36° and 144° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  2. 2.What is the supplement of 37° (in degrees)?
  3. 3.Are 27° and 169° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  4. 4.What is the supplement of 5° (in degrees)?
  5. 5.Are 63° and 40° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  6. 6.What is the supplement of 34° (in degrees)?
  7. 7.Are 40° and 61° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  8. 8.Two straight lines cross each other. One of the angles formed is 65°. What is the angle next to it on the same line (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 38°. What is the angle next to it on the same line (in degrees)?
  10. 10.What is the supplement of 132° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 122°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the complement of 14° (in degrees)?
  14. 14.What is the supplement of 47° (in degrees)?
  15. 15.Are 31° and 89° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  16. 16.What is the complement of 35° (in degrees)?
  17. 17.What is the complement of 28° (in degrees)?
  18. 18.What is the supplement of 113° (in degrees)?
  19. 19.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 150° (in degrees)?
  21. 21.What is the supplement of 124° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 113°. What is its alternate interior angle (in degrees)?
  23. 23.What is the complement of 8° (in degrees)?
  24. 24.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the complement of 23° (in degrees)?
  26. 26.Are 77° and 13° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its alternate interior angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 108°. What is the angle next to it on the same line (in degrees)?
  30. 30.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the complement of 33° (in degrees)?
  32. 32.What is the complement of 84° (in degrees)?
  33. 33.What is the supplement of 105° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its alternate interior angle (in degrees)?
  35. 35.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the supplement of 126° (in degrees)?
  37. 37.Are 70° and 32° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.Are 31° and 120° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  39. 39.What is the complement of 62° (in degrees)?
  40. 40.Are 45° and 50° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither

Answer key

  1. Supplementary
  2. 143
  3. Neither
  4. 175
  5. Neither
  6. 146
  7. Neither
  8. 115
  9. 142
  10. 48
  11. 122
  12. 94
  13. 76
  14. 133
  15. Neither
  16. 55
  17. 62
  18. 67
  19. 48
  20. 30
  21. 56
  22. 113
  23. 82
  24. 52
  25. 67
  26. Complementary
  27. 38
  28. 113
  29. 72
  30. 71
  31. 57
  32. 6
  33. 75
  34. 107
  35. 139
  36. 54
  37. Neither
  38. Neither
  39. 28
  40. Neither

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