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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 147 · 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 131°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 146°. What is its alternate interior angle (in degrees)?
  3. 3.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the supplement of 84° (in degrees)?
  5. 5.What is the complement of 25° (in degrees)?
  6. 6.Are 24° and 84° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.Are 76° and 14° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  8. 8.What is the supplement of 171° (in degrees)?
  9. 9.Are 12° and 78° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  10. 10.Two angles are supplementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 121°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 104°. What is its corresponding angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 108°. What is the angle vertically opposite to it (in degrees)?
  14. 14.What is the supplement of 72° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 129°. What is the angle next to it on the same line (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its alternate interior angle (in degrees)?
  17. 17.What is the complement of 11° (in degrees)?
  18. 18.What is the supplement of 46° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 143°. What is the angle next to it on the same line (in degrees)?
  20. 20.Are 30° and 44° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  21. 21.What is the complement of 7° (in degrees)?
  22. 22.Are 41° and 139° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  23. 23.Two straight lines cross each other. One of the angles formed is 89°. What is the angle next to it on the same line (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the complement of 53° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 81°. What is the angle next to it on the same line (in degrees)?
  27. 27.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 133°. What is its alternate interior angle (in degrees)?
  29. 29.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the complement of 71° (in degrees)?
  31. 31.Are 13° and 102° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  32. 32.Two straight lines cross each other. One of the angles formed is 103°. What is the angle next to it on the same line (in degrees)?
  33. 33.What is the supplement of 131° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One angle is 55°. What is its corresponding angle (in degrees)?
  35. 35.Are 42° and 122° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  36. 36.Are 44° and 114° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 143°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.Are 19° and 50° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.Two straight lines cross each other. One of the angles formed is 118°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 131
  2. 146
  3. 78
  4. 96
  5. 65
  6. Neither
  7. Complementary
  8. 9
  9. Complementary
  10. 112
  11. 121
  12. 104
  13. 108
  14. 108
  15. 51
  16. 43
  17. 79
  18. 134
  19. 37
  20. Neither
  21. 83
  22. Supplementary
  23. 91
  24. 150
  25. 37
  26. 99
  27. 71
  28. 133
  29. 53
  30. 19
  31. Neither
  32. 77
  33. 49
  34. 55
  35. Neither
  36. Neither
  37. 37
  38. Neither
  39. 118
  40. 107

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