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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 667 · 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 angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its alternate interior angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the complement of 72° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 76°. What is the angle vertically opposite to it (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 128°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Are 15° and 165° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  8. 8.Two parallel lines are cut by a transversal. One angle is 117°. What is its corresponding angle (in degrees)?
  9. 9.Are 43° and 137° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  10. 10.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the complement of 22° (in degrees)?
  12. 12.What is the complement of 45° (in degrees)?
  13. 13.Are 11° and 79° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  14. 14.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the supplement of 154° (in degrees)?
  16. 16.What is the supplement of 13° (in degrees)?
  17. 17.What is the supplement of 32° (in degrees)?
  18. 18.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 118°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the complement of 20° (in degrees)?
  21. 21.What is the complement of 56° (in degrees)?
  22. 22.What is the supplement of 46° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 41°. What is its corresponding angle (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 63°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the supplement of 158° (in degrees)?
  27. 27.Are 39° and 51° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  28. 28.What is the complement of 77° (in degrees)?
  29. 29.What is the complement of 81° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 148°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 146°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Are 10° and 80° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.What is the supplement of 82° (in degrees)?
  34. 34.Are 73° and 17° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  35. 35.Are 19° and 65° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the supplement of 52° (in degrees)?
  38. 38.What is the complement of 24° (in degrees)?
  39. 39.Two angles are supplementary. One is 116° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the complement of 13° (in degrees)?

Answer key

  1. 50
  2. 104
  3. 61
  4. 18
  5. 76
  6. 128
  7. Supplementary
  8. 117
  9. Supplementary
  10. 79
  11. 68
  12. 45
  13. Complementary
  14. 58
  15. 26
  16. 167
  17. 148
  18. 65
  19. 118
  20. 70
  21. 34
  22. 134
  23. 41
  24. 63
  25. 52
  26. 22
  27. Complementary
  28. 13
  29. 9
  30. 148
  31. 146
  32. Complementary
  33. 98
  34. Complementary
  35. Neither
  36. 71
  37. 128
  38. 66
  39. 148
  40. 77

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