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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 365 · 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 straight lines cross each other. One of the angles formed is 157°. What is the angle next to it on the same line (in degrees)?
  2. 2.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 63° (in degrees)?
  4. 4.Are 65° and 81° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  5. 5.Are 12° and 168° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  6. 6.What is the supplement of 71° (in degrees)?
  7. 7.What is the supplement of 86° (in degrees)?
  8. 8.What is the supplement of 70° (in degrees)?
  9. 9.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 68°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its alternate interior angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 141°. What is the angle vertically opposite to it (in degrees)?
  14. 14.What is the supplement of 39° (in degrees)?
  15. 15.What is the complement of 19° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 87°. What is the angle next to it on the same line (in degrees)?
  17. 17.What is the supplement of 52° (in degrees)?
  18. 18.Are 51° and 43° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  19. 19.Two straight lines cross each other. One of the angles formed is 127°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 107°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 128°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 114°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Are 36° and 54° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  24. 24.Two straight lines cross each other. One of the angles formed is 84°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Are 40° and 140° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 160° (in degrees)?
  29. 29.What is the complement of 11° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its alternate interior angle (in degrees)?
  31. 31.What is the supplement of 105° (in degrees)?
  32. 32.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the supplement of 108° (in degrees)?
  34. 34.Are 33° and 91° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  35. 35.What is the complement of 35° (in degrees)?
  36. 36.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  37. 37.Are 45° and 45° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  38. 38.Two straight lines cross each other. One of the angles formed is 115°. What is the angle vertically opposite to it (in degrees)?
  39. 39.What is the complement of 24° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 111°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 23
  2. 46
  3. 117
  4. Neither
  5. Supplementary
  6. 109
  7. 94
  8. 110
  9. 131
  10. 72
  11. 112
  12. 110
  13. 141
  14. 141
  15. 71
  16. 93
  17. 128
  18. Neither
  19. 127
  20. 73
  21. 128
  22. 114
  23. Complementary
  24. 84
  25. Supplementary
  26. 52
  27. 55
  28. 20
  29. 79
  30. 38
  31. 75
  32. 65
  33. 72
  34. Neither
  35. 55
  36. 66
  37. Complementary
  38. 115
  39. 66
  40. 111

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