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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 588 · 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 angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 32°. What is the angle next to it on the same line (in degrees)?
  3. 3.What is the supplement of 23° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 90°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  6. 6.Are 47° and 118° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  7. 7.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 80° (in degrees)?
  9. 9.What is the supplement of 73° (in degrees)?
  10. 10.Are 13° and 77° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  11. 11.What is the complement of 27° (in degrees)?
  12. 12.What is the complement of 68° (in degrees)?
  13. 13.What is the complement of 85° (in degrees)?
  14. 14.Are 28° and 62° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  15. 15.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 50°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the complement of 55° (in degrees)?
  19. 19.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  20. 20.Are 79° and 11° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  21. 21.Two parallel lines are cut by a transversal. One angle is 94°. What is its corresponding angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 57°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 54°. What is the angle next to it on the same line (in degrees)?
  24. 24.What is the complement of 19° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 29°. What is the angle next to it on the same line (in degrees)?
  26. 26.What is the complement of 71° (in degrees)?
  27. 27.What is the complement of 6° (in degrees)?
  28. 28.Are 52° and 128° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  29. 29.Two straight lines cross each other. One of the angles formed is 65°. What is the angle next to it on the same line (in degrees)?
  30. 30.What is the supplement of 41° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 77°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  33. 33.Are 69° and 111° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  34. 34.What is the complement of 67° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its alternate interior angle (in degrees)?
  36. 36.What is the supplement of 141° (in degrees)?
  37. 37.What is the complement of 46° (in degrees)?
  38. 38.Are 51° and 39° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.Two straight lines cross each other. One of the angles formed is 40°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 55°. What is its corresponding angle (in degrees)?

Answer key

  1. 58
  2. 148
  3. 157
  4. 90
  5. 136
  6. Neither
  7. 57
  8. 10
  9. 107
  10. Complementary
  11. 63
  12. 22
  13. 5
  14. Complementary
  15. 141
  16. 50
  17. 74
  18. 35
  19. 120
  20. Complementary
  21. 94
  22. 57
  23. 126
  24. 71
  25. 151
  26. 19
  27. 84
  28. Supplementary
  29. 115
  30. 139
  31. 103
  32. 131
  33. Supplementary
  34. 23
  35. 35
  36. 39
  37. 44
  38. Complementary
  39. 140
  40. 55

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