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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 858 · 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.What is the complement of 83° (in degrees)?
  2. 2.Two angles are supplementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 23° (in degrees)?
  6. 6.What is the complement of 79° (in degrees)?
  7. 7.What is the supplement of 77° (in degrees)?
  8. 8.What is the complement of 85° (in degrees)?
  9. 9.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 63°. What is the angle next to it on the same line (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 126°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  13. 13.Are 26° and 17° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  14. 14.What is the supplement of 135° (in degrees)?
  15. 15.Are 17° and 73° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  16. 16.What is the supplement of 156° (in degrees)?
  17. 17.What is the complement of 50° (in degrees)?
  18. 18.What is the supplement of 83° (in degrees)?
  19. 19.What is the complement of 34° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 42°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.Are 21° and 71° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  22. 22.What is the complement of 84° (in degrees)?
  23. 23.What is the supplement of 132° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 148°. What is the angle vertically opposite to it (in degrees)?
  25. 25.What is the supplement of 80° (in degrees)?
  26. 26.Two angles are supplementary. One is 88° more than the other. What is the bigger angle (in degrees)?
  27. 27.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)?
  28. 28.What is the complement of 11° (in degrees)?
  29. 29.What is the complement of 26° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 45°. What is the angle next to it on the same line (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the complement of 68° (in degrees)?
  33. 33.Are 74° and 60° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  34. 34.What is the complement of 13° (in degrees)?
  35. 35.What is the supplement of 73° (in degrees)?
  36. 36.What is the supplement of 121° (in degrees)?
  37. 37.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 51°. What is its alternate interior angle (in degrees)?
  39. 39.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the supplement of 22° (in degrees)?

Answer key

  1. 7
  2. 116
  3. 147
  4. 75
  5. 157
  6. 11
  7. 103
  8. 5
  9. 102
  10. 117
  11. 54
  12. 46
  13. Neither
  14. 45
  15. Complementary
  16. 24
  17. 40
  18. 97
  19. 56
  20. 138
  21. Neither
  22. 6
  23. 48
  24. 148
  25. 100
  26. 134
  27. 150
  28. 79
  29. 64
  30. 135
  31. 120
  32. 22
  33. Neither
  34. 77
  35. 107
  36. 59
  37. 62
  38. 51
  39. 117
  40. 158

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