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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 47 · 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 146°. What is its alternate interior angle (in degrees)?
  2. 2.What is the supplement of 140° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 33°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 108° (in degrees)?
  6. 6.Are 59° and 121° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  7. 7.What is the complement of 81° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 97°. What is its corresponding angle (in degrees)?
  9. 9.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the supplement of 81° (in degrees)?
  11. 11.Are 76° and 105° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  12. 12.Are 75° and 15° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  13. 13.Are 46° and 134° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  14. 14.Are 28° and 62° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  15. 15.What is the supplement of 34° (in degrees)?
  16. 16.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One angle is 126°. What is its corresponding angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 134°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.What is the supplement of 43° (in degrees)?
  21. 21.What is the supplement of 15° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 53°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 94°. What is its corresponding angle (in degrees)?
  24. 24.What is the supplement of 94° (in degrees)?
  25. 25.Are 21° and 159° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  26. 26.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 114°. What is its corresponding angle (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 118°. What is the angle next to it on the same line (in degrees)?
  29. 29.What is the supplement of 111° (in degrees)?
  30. 30.What is the supplement of 74° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 82°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 117°. What is the angle vertically opposite to it (in degrees)?
  33. 33.What is the complement of 62° (in degrees)?
  34. 34.What is the supplement of 49° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 124°. What is the angle vertically opposite to it (in degrees)?
  36. 36.What is the complement of 20° (in degrees)?
  37. 37.Are 64° and 26° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  38. 38.What is the supplement of 122° (in degrees)?
  39. 39.What is the supplement of 25° (in degrees)?
  40. 40.What is the supplement of 120° (in degrees)?

Answer key

  1. 146
  2. 40
  3. 147
  4. 141
  5. 72
  6. Supplementary
  7. 9
  8. 97
  9. 52
  10. 99
  11. Neither
  12. Complementary
  13. Supplementary
  14. Complementary
  15. 146
  16. 153
  17. 126
  18. 134
  19. 106
  20. 137
  21. 165
  22. 127
  23. 94
  24. 86
  25. Supplementary
  26. 51
  27. 114
  28. 62
  29. 69
  30. 106
  31. 82
  32. 117
  33. 28
  34. 131
  35. 124
  36. 70
  37. Complementary
  38. 58
  39. 155
  40. 60

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