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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 775 · 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.Are 25° and 170° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  2. 2.Are 18° and 72° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.What is the complement of 28° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 102°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 100°. 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 64°. What is the angle next to it on the same line (in degrees)?
  7. 7.What is the supplement of 88° (in degrees)?
  8. 8.What is the complement of 24° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the complement of 6° (in degrees)?
  12. 12.What is the supplement of 124° (in degrees)?
  13. 13.What is the complement of 12° (in degrees)?
  14. 14.Are 48° and 33° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  15. 15.What is the complement of 31° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 131°. What is the angle vertically opposite to it (in degrees)?
  17. 17.What is the supplement of 129° (in degrees)?
  18. 18.What is the supplement of 172° (in degrees)?
  19. 19.What is the complement of 83° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 81°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 124°. What is its alternate interior angle (in degrees)?
  22. 22.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  23. 23.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)?
  24. 24.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the complement of 19° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 86°. What is the angle next to it on the same line (in degrees)?
  27. 27.What is the complement of 16° (in degrees)?
  28. 28.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the complement of 35° (in degrees)?
  30. 30.What is the complement of 55° (in degrees)?
  31. 31.What is the complement of 9° (in degrees)?
  32. 32.What is the complement of 43° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 76°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.What is the complement of 56° (in degrees)?
  35. 35.Are 38° and 52° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  36. 36.What is the complement of 74° (in degrees)?
  37. 37.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the supplement of 49° (in degrees)?
  40. 40.What is the complement of 82° (in degrees)?

Answer key

  1. Neither
  2. Complementary
  3. 62
  4. 78
  5. 80
  6. 116
  7. 92
  8. 66
  9. 35
  10. 53
  11. 84
  12. 56
  13. 78
  14. Neither
  15. 59
  16. 131
  17. 51
  18. 8
  19. 7
  20. 81
  21. 124
  22. 68
  23. 102
  24. 78
  25. 71
  26. 94
  27. 74
  28. 65
  29. 55
  30. 35
  31. 81
  32. 47
  33. 104
  34. 34
  35. Complementary
  36. 16
  37. 142
  38. 52
  39. 131
  40. 8

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