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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 721 · 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 114°. What is its alternate interior angle (in degrees)?
  2. 2.Are 21° and 9° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  3. 3.What is the complement of 53° (in degrees)?
  4. 4.Are 19° and 71° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  5. 5.Two straight lines cross each other. One of the angles formed is 58°. What is the angle vertically opposite to it (in degrees)?
  6. 6.What is the complement of 14° (in degrees)?
  7. 7.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 45° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 134°. What is its alternate interior angle (in degrees)?
  10. 10.What is the supplement of 44° (in degrees)?
  11. 11.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 80°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the complement of 19° (in degrees)?
  14. 14.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 70° and 20° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  17. 17.Are 11° and 169° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  18. 18.Two parallel lines are cut by a transversal. One angle is 34°. What is its corresponding angle (in degrees)?
  19. 19.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the complement of 18° (in degrees)?
  21. 21.Two angles are supplementary. One is 136° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 142° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 62°. What is its corresponding angle (in degrees)?
  24. 24.What is the supplement of 67° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 41°. What is the angle next to it on the same line (in degrees)?
  26. 26.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 70°. What is the angle next to it on the same line (in degrees)?
  28. 28.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  29. 29.Are 54° and 36° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 81°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.What is the complement of 58° (in degrees)?
  32. 32.What is the supplement of 57° (in degrees)?
  33. 33.Are 22° and 158° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  34. 34.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the supplement of 109° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 67°. What is the angle next to it on the same line (in degrees)?
  37. 37.Are 31° and 149° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.Are 30° and 102° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.Are 26° and 15° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  40. 40.What is the complement of 52° (in degrees)?

Answer key

  1. 114
  2. Neither
  3. 37
  4. Complementary
  5. 58
  6. 76
  7. 50
  8. 45
  9. 134
  10. 136
  11. 54
  12. 80
  13. 71
  14. 94
  15. 69
  16. Complementary
  17. Supplementary
  18. 34
  19. 127
  20. 72
  21. 158
  22. 38
  23. 62
  24. 113
  25. 139
  26. 63
  27. 110
  28. 76
  29. Complementary
  30. 99
  31. 32
  32. 123
  33. Supplementary
  34. 122
  35. 71
  36. 113
  37. Supplementary
  38. Neither
  39. Neither
  40. 38

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