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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 44 · 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 16° (in degrees)?
  2. 2.What is the complement of 58° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 129°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 133°. What is the angle vertically opposite to it (in degrees)?
  5. 5.What is the supplement of 113° (in degrees)?
  6. 6.What is the supplement of 67° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 67°. What is its corresponding angle (in degrees)?
  8. 8.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 105°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.Are 50° and 159° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  13. 13.Are 59° and 31° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  14. 14.What is the supplement of 58° (in degrees)?
  15. 15.What is the supplement of 125° (in degrees)?
  16. 16.What is the supplement of 41° (in degrees)?
  17. 17.Are 21° and 59° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  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 65° (in degrees)?
  20. 20.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 160°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two angles are complementary. One is 64° 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 144°. What is its alternate interior angle (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 124°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 100°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 114°. 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 interior angle is 135°. What is its alternate interior angle (in degrees)?
  28. 28.Are 30° and 150° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  29. 29.Are 10° and 32° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  30. 30.Two straight lines cross each other. One of the angles formed is 48°. What is the angle vertically opposite to it (in degrees)?
  31. 31.What is the supplement of 167° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 51°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the complement of 27° (in degrees)?
  35. 35.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the complement of 41° (in degrees)?
  37. 37.What is the supplement of 34° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its alternate interior angle (in degrees)?
  39. 39.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the complement of 28° (in degrees)?

Answer key

  1. 74
  2. 32
  3. 51
  4. 133
  5. 67
  6. 113
  7. 67
  8. 143
  9. 78
  10. 74
  11. 75
  12. Neither
  13. Complementary
  14. 122
  15. 55
  16. 139
  17. Neither
  18. 50
  19. 115
  20. 118
  21. 160
  22. 77
  23. 144
  24. 124
  25. 100
  26. 66
  27. 135
  28. Supplementary
  29. Neither
  30. 48
  31. 13
  32. 51
  33. 149
  34. 63
  35. 93
  36. 49
  37. 146
  38. 70
  39. 99
  40. 62

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