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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 116 · 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 parallel lines are cut by a transversal. One interior angle is 117°. What is its alternate interior angle (in degrees)?
  2. 2.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 54° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 121°. What is its corresponding angle (in degrees)?
  5. 5.Are 80° and 38° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  6. 6.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.Are 31° and 160° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  9. 9.What is the supplement of 52° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 149°. What is its corresponding angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the complement of 16° (in degrees)?
  13. 13.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two angles are supplementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 135°. What is its alternate interior angle (in degrees)?
  16. 16.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  17. 17.Are 68° and 112° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  18. 18.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the complement of 74° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 89°. What is the angle vertically opposite to it (in degrees)?
  22. 22.What is the supplement of 90° (in degrees)?
  23. 23.Are 58° and 122° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  24. 24.What is the supplement of 127° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the supplement of 97° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 135°. What is the angle next to it on the same line (in degrees)?
  29. 29.What is the supplement of 92° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 136°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Are 24° and 66° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  32. 32.What is the supplement of 21° (in degrees)?
  33. 33.What is the supplement of 15° (in degrees)?
  34. 34.Two angles are supplementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the supplement of 140° (in degrees)?
  37. 37.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the complement of 75° (in degrees)?
  39. 39.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 128°. What is its corresponding angle (in degrees)?

Answer key

  1. 117
  2. 76
  3. 126
  4. 121
  5. Neither
  6. 54
  7. 145
  8. Neither
  9. 128
  10. 149
  11. 105
  12. 74
  13. 56
  14. 124
  15. 135
  16. 69
  17. Supplementary
  18. 74
  19. 16
  20. 110
  21. 89
  22. 90
  23. Supplementary
  24. 53
  25. 149
  26. 120
  27. 83
  28. 45
  29. 88
  30. 136
  31. Complementary
  32. 159
  33. 165
  34. 114
  35. 119
  36. 40
  37. 146
  38. 15
  39. 97
  40. 128

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