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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 16 · 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 42°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 109°. What is its alternate interior angle (in degrees)?
  3. 3.What is the supplement of 54° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 135°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Are 16° and 82° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  6. 6.What is the supplement of 7° (in degrees)?
  7. 7.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.Are 51° and 39° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  10. 10.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 81°. What is its alternate interior angle (in degrees)?
  12. 12.Are 34° and 56° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  13. 13.Are 40° and 37° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  14. 14.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  15. 15.Are 40° and 140° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  16. 16.What is the complement of 71° (in degrees)?
  17. 17.What is the supplement of 133° (in degrees)?
  18. 18.What is the complement of 5° (in degrees)?
  19. 19.Are 69° and 21° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  20. 20.Are 27° and 20° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  21. 21.Are 22° and 77° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  22. 22.Two parallel lines are cut by a transversal. One angle is 91°. What is its corresponding angle (in degrees)?
  23. 23.Are 42° and 48° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  24. 24.What is the complement of 39° (in degrees)?
  25. 25.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  26. 26.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)?
  27. 27.Are 67° and 7° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the complement of 59° (in degrees)?
  31. 31.Are 58° and 122° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  32. 32.What is the supplement of 142° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 32°. What is the angle next to it on the same line (in degrees)?
  34. 34.What is the complement of 45° (in degrees)?
  35. 35.What is the supplement of 139° (in degrees)?
  36. 36.Are 11° and 169° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.Two angles are supplementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  38. 38.Are 29° and 106° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  39. 39.Are 69° and 111° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  40. 40.What is the complement of 43° (in degrees)?

Answer key

  1. 42
  2. 109
  3. 126
  4. 135
  5. Neither
  6. 173
  7. 102
  8. 137
  9. Complementary
  10. 86
  11. 81
  12. Complementary
  13. Neither
  14. 52
  15. Supplementary
  16. 19
  17. 47
  18. 85
  19. Complementary
  20. Neither
  21. Neither
  22. 91
  23. Complementary
  24. 51
  25. 78
  26. 23
  27. Neither
  28. 102
  29. 51
  30. 31
  31. Supplementary
  32. 38
  33. 148
  34. 45
  35. 41
  36. Supplementary
  37. 92
  38. Neither
  39. Supplementary
  40. 47

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