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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 250 · 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 complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 38° (in degrees)?
  4. 4.Are 70° and 20° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  5. 5.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the complement of 11° (in degrees)?
  7. 7.What is the complement of 17° (in degrees)?
  8. 8.What is the supplement of 54° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 108°. What is the angle next to it on the same line (in degrees)?
  10. 10.What is the complement of 24° (in degrees)?
  11. 11.Two angles are supplementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 42°. What is the angle next to it on the same line (in degrees)?
  13. 13.Two angles are supplementary. One is 88° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 19° and 127° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  17. 17.What is the complement of 85° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 67°. What is the angle next to it on the same line (in degrees)?
  19. 19.What is the complement of 45° (in degrees)?
  20. 20.What is the supplement of 106° (in degrees)?
  21. 21.What is the complement of 55° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 104°. What is the angle next to it on the same line (in degrees)?
  23. 23.What is the complement of 23° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 65°. What is the angle next to it on the same line (in degrees)?
  25. 25.What is the complement of 41° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its alternate interior angle (in degrees)?
  27. 27.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the complement of 71° (in degrees)?
  29. 29.What is the complement of 13° (in degrees)?
  30. 30.What is the complement of 65° (in degrees)?
  31. 31.What is the supplement of 131° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
  33. 33.What is the complement of 30° (in degrees)?
  34. 34.What is the supplement of 61° (in degrees)?
  35. 35.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 101°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Are 45° and 135° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.What is the complement of 5° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 122°. What is the angle next to it on the same line (in degrees)?
  40. 40.What is the complement of 63° (in degrees)?

Answer key

  1. 71
  2. 66
  3. 142
  4. Complementary
  5. 147
  6. 79
  7. 73
  8. 126
  9. 72
  10. 66
  11. 116
  12. 138
  13. 134
  14. 58
  15. 123
  16. Neither
  17. 5
  18. 113
  19. 45
  20. 74
  21. 35
  22. 76
  23. 67
  24. 115
  25. 49
  26. 71
  27. 79
  28. 19
  29. 77
  30. 25
  31. 49
  32. 42
  33. 60
  34. 119
  35. 54
  36. 101
  37. Supplementary
  38. 85
  39. 58
  40. 27

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