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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 82 · 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 supplement of 28° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 91°. What is the angle next to it on the same line (in degrees)?
  3. 3.Are 47° and 115° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  4. 4.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the supplement of 17° (in degrees)?
  7. 7.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 17° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 116°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Are 36° and 75° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  11. 11.Two angles are supplementary. One is 120° 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 57°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.What is the supplement of 6° (in degrees)?
  14. 14.What is the complement of 40° (in degrees)?
  15. 15.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the supplement of 40° (in degrees)?
  17. 17.Are 40° and 139° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  18. 18.Are 31° and 59° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 124°. What is its alternate interior angle (in degrees)?
  20. 20.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  21. 21.Are 76° and 52° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  22. 22.Two straight lines cross each other. One of the angles formed is 92°. What is the angle next to it on the same line (in degrees)?
  23. 23.Are 55° and 125° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  24. 24.What is the supplement of 56° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?
  26. 26.What is the supplement of 86° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 67°. What is the angle vertically opposite to it (in degrees)?
  28. 28.What is the complement of 26° (in degrees)?
  29. 29.Are 28° and 62° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  30. 30.Are 17° and 73° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  31. 31.Two straight lines cross each other. One of the angles formed is 54°. What is the angle next to it on the same line (in degrees)?
  32. 32.What is the complement of 81° (in degrees)?
  33. 33.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the complement of 42° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 128°. What is the angle next to it on the same line (in degrees)?
  36. 36.What is the complement of 11° (in degrees)?
  37. 37.What is the complement of 59° (in degrees)?
  38. 38.Are 11° and 169° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  39. 39.What is the complement of 16° (in degrees)?
  40. 40.Are 37° and 140° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither

Answer key

  1. 152
  2. 89
  3. Neither
  4. 91
  5. 46
  6. 163
  7. 98
  8. 73
  9. 116
  10. Neither
  11. 150
  12. 123
  13. 174
  14. 50
  15. 60
  16. 140
  17. Neither
  18. Complementary
  19. 124
  20. 73
  21. Neither
  22. 88
  23. Supplementary
  24. 124
  25. 120
  26. 94
  27. 67
  28. 64
  29. Complementary
  30. Complementary
  31. 126
  32. 9
  33. 68
  34. 48
  35. 52
  36. 79
  37. 31
  38. Supplementary
  39. 74
  40. Neither

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