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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 469 · 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 58°. What is the angle next to it on the same line (in degrees)?
  2. 2.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 136°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the supplement of 163° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 97°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 38°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  9. 9.Are 57° and 33° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  10. 10.What is the complement of 78° (in degrees)?
  11. 11.What is the complement of 84° (in degrees)?
  12. 12.What is the supplement of 64° (in degrees)?
  13. 13.Are 30° and 60° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  14. 14.What is the complement of 71° (in degrees)?
  15. 15.What is the supplement of 43° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 35°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Are 57° and 93° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  18. 18.Two straight lines cross each other. One of the angles formed is 32°. What is the angle vertically opposite to it (in degrees)?
  19. 19.What is the complement of 36° (in degrees)?
  20. 20.Are 77° and 158° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  21. 21.Two straight lines cross each other. One of the angles formed is 62°. What is the angle next to it on the same line (in degrees)?
  22. 22.What is the complement of 40° (in degrees)?
  23. 23.Are 79° and 30° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  24. 24.What is the supplement of 51° (in degrees)?
  25. 25.What is the supplement of 25° (in degrees)?
  26. 26.What is the complement of 75° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its alternate interior angle (in degrees)?
  28. 28.Are 68° and 112° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  29. 29.Two straight lines cross each other. One of the angles formed is 41°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 75°. What is the angle next to it on the same line (in degrees)?
  31. 31.What is the complement of 64° (in degrees)?
  32. 32.What is the supplement of 123° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 94°. What is its corresponding angle (in degrees)?
  34. 34.What is the complement of 15° (in degrees)?
  35. 35.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  36. 36.Are 42° and 126° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its alternate interior angle (in degrees)?
  38. 38.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)?
  39. 39.Are 16° and 164° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.What is the complement of 77° (in degrees)?

Answer key

  1. 122
  2. 51
  3. 136
  4. 17
  5. 83
  6. 38
  7. 92
  8. 53
  9. Complementary
  10. 12
  11. 6
  12. 116
  13. Complementary
  14. 19
  15. 137
  16. 35
  17. Neither
  18. 32
  19. 54
  20. Neither
  21. 118
  22. 50
  23. Neither
  24. 129
  25. 155
  26. 15
  27. 65
  28. Supplementary
  29. 41
  30. 105
  31. 26
  32. 57
  33. 94
  34. 75
  35. 103
  36. Neither
  37. 67
  38. 150
  39. Supplementary
  40. 13

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