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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 557 · 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 supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  3. 3.Are 26° and 64° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 142°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  6. 6.Are 10° and 170° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  7. 7.Are 72° and 108° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  8. 8.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 155°. What is the angle vertically opposite to it (in degrees)?
  10. 10.What is the complement of 34° (in degrees)?
  11. 11.What is the complement of 20° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 73°. What is the angle next to it on the same line (in degrees)?
  13. 13.What is the supplement of 174° (in degrees)?
  14. 14.What is the complement of 42° (in degrees)?
  15. 15.What is the supplement of 109° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its alternate interior angle (in degrees)?
  17. 17.What is the complement of 48° (in degrees)?
  18. 18.What is the supplement of 159° (in degrees)?
  19. 19.What is the supplement of 62° (in degrees)?
  20. 20.Are 78° and 12° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  21. 21.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?
  23. 23.What is the supplement of 71° (in degrees)?
  24. 24.Are 11° and 79° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  25. 25.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the complement of 38° (in degrees)?
  27. 27.Are 53° and 127° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  28. 28.Two straight lines cross each other. One of the angles formed is 141°. What is the angle vertically opposite to it (in degrees)?
  29. 29.What is the supplement of 161° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 30°. What is the angle next to it on the same line (in degrees)?
  31. 31.What is the complement of 69° (in degrees)?
  32. 32.What is the complement of 15° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 103°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.What is the supplement of 23° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its alternate interior angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its alternate interior angle (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 126°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.Are 29° and 109° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 131
  2. 53
  3. Complementary
  4. 38
  5. 79
  6. Supplementary
  7. Supplementary
  8. 159
  9. 155
  10. 56
  11. 70
  12. 107
  13. 6
  14. 48
  15. 71
  16. 71
  17. 42
  18. 21
  19. 118
  20. Complementary
  21. 66
  22. 120
  23. 109
  24. Complementary
  25. 55
  26. 52
  27. Supplementary
  28. 141
  29. 19
  30. 150
  31. 21
  32. 75
  33. 77
  34. 157
  35. 118
  36. 57
  37. 54
  38. Neither
  39. 117
  40. 62

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