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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 945 · 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 46° more than the other. What is the bigger angle (in degrees)?
  2. 2.Are 26° and 154° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 71°. What is the angle next to it on the same line (in degrees)?
  5. 5.Are 28° and 62° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  6. 6.Two angles are supplementary. One is 110° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the complement of 84° (in degrees)?
  8. 8.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  9. 9.Are 61° and 15° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  10. 10.Are 41° and 134° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  11. 11.What is the supplement of 36° (in degrees)?
  12. 12.What is the complement of 7° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 102°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.What is the supplement of 58° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 124°. What is its alternate interior angle (in degrees)?
  16. 16.What is the supplement of 64° (in degrees)?
  17. 17.Are 20° and 160° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  18. 18.Two straight lines cross each other. One of the angles formed is 121°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  20. 20.Are 51° and 106° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  21. 21.What is the supplement of 109° (in degrees)?
  22. 22.What is the supplement of 132° (in degrees)?
  23. 23.What is the complement of 79° (in degrees)?
  24. 24.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the complement of 71° (in degrees)?
  26. 26.What is the complement of 40° (in degrees)?
  27. 27.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 102°. What is the angle next to it on the same line (in degrees)?
  29. 29.What is the supplement of 22° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 156°. What is the angle next to it on the same line (in degrees)?
  31. 31.What is the supplement of 145° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  34. 34.Are 54° and 36° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 105°. What is the angle next to it on the same line (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 90°. What is its alternate interior angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 140°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.What is the complement of 64° (in degrees)?
  40. 40.What is the supplement of 118° (in degrees)?

Answer key

  1. 68
  2. Supplementary
  3. 50
  4. 109
  5. Complementary
  6. 145
  7. 6
  8. 80
  9. Neither
  10. Neither
  11. 144
  12. 83
  13. 78
  14. 122
  15. 124
  16. 116
  17. Supplementary
  18. 121
  19. 103
  20. Neither
  21. 71
  22. 48
  23. 11
  24. 50
  25. 19
  26. 50
  27. 74
  28. 78
  29. 158
  30. 24
  31. 35
  32. 65
  33. 47
  34. Complementary
  35. 124
  36. 75
  37. 90
  38. 40
  39. 26
  40. 62

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