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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 289 · 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 58° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 78° (in degrees)?
  3. 3.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 82°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its alternate interior angle (in degrees)?
  6. 6.Are 17° and 73° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  7. 7.Are 74° and 106° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 129°. What is its alternate interior angle (in degrees)?
  9. 9.Are 36° and 128° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 63°. What is its other interior angle on the same side of the transversal (in degrees)?
  11. 11.What is the supplement of 122° (in degrees)?
  12. 12.What is the complement of 5° (in degrees)?
  13. 13.What is the complement of 12° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 88°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Are 42° and 48° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  16. 16.Are 53° and 52° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.What is the complement of 24° (in degrees)?
  18. 18.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the supplement of 47° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 131°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Are 39° and 141° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  22. 22.What is the complement of 66° (in degrees)?
  23. 23.What is the complement of 71° (in degrees)?
  24. 24.What is the complement of 30° (in degrees)?
  25. 25.What is the complement of 57° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 116°. What is its corresponding angle (in degrees)?
  28. 28.What is the supplement of 99° (in degrees)?
  29. 29.What is the complement of 45° (in degrees)?
  30. 30.What is the supplement of 146° (in degrees)?
  31. 31.Are 79° and 11° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  32. 32.What is the supplement of 55° (in degrees)?
  33. 33.What is the complement of 84° (in degrees)?
  34. 34.What is the complement of 72° (in degrees)?
  35. 35.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the supplement of 44° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 89°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the complement of 16° (in degrees)?
  39. 39.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 63°. What is its corresponding angle (in degrees)?

Answer key

  1. 119
  2. 12
  3. 72
  4. 98
  5. 91
  6. Complementary
  7. Supplementary
  8. 129
  9. Neither
  10. 117
  11. 58
  12. 85
  13. 78
  14. 88
  15. Complementary
  16. Neither
  17. 66
  18. 50
  19. 133
  20. 131
  21. Supplementary
  22. 24
  23. 19
  24. 60
  25. 33
  26. 113
  27. 116
  28. 81
  29. 45
  30. 34
  31. Complementary
  32. 125
  33. 6
  34. 18
  35. 71
  36. 136
  37. 89
  38. 74
  39. 58
  40. 63

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