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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 13 · 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 supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 43° (in degrees)?
  3. 3.What is the supplement of 148° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 74°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 82°. What is the angle vertically opposite to it (in degrees)?
  6. 6.What is the supplement of 120° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 100°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Are 77° and 13° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  9. 9.What is the supplement of 53° (in degrees)?
  10. 10.Are 50° and 40° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  11. 11.Are 42° and 48° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  12. 12.What is the complement of 19° (in degrees)?
  13. 13.What is the complement of 37° (in degrees)?
  14. 14.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the complement of 13° (in degrees)?
  16. 16.What is the complement of 41° (in degrees)?
  17. 17.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  20. 20.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  21. 21.Are 30° and 60° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  22. 22.What is the supplement of 169° (in degrees)?
  23. 23.What is the complement of 40° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 138°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the complement of 12° (in degrees)?
  26. 26.Are 10° and 80° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  27. 27.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 33°. What is its corresponding angle (in degrees)?
  29. 29.Are 49° and 41° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  30. 30.What is the supplement of 124° (in degrees)?
  31. 31.What is the complement of 81° (in degrees)?
  32. 32.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 98°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 90°. What is its alternate interior angle (in degrees)?
  36. 36.What is the complement of 85° (in degrees)?
  37. 37.What is the complement of 83° (in degrees)?
  38. 38.What is the complement of 15° (in degrees)?
  39. 39.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 155
  2. 47
  3. 32
  4. 106
  5. 82
  6. 60
  7. 100
  8. Complementary
  9. 127
  10. Complementary
  11. Complementary
  12. 71
  13. 53
  14. 142
  15. 77
  16. 49
  17. 47
  18. 26
  19. 48
  20. 99
  21. Complementary
  22. 11
  23. 50
  24. 42
  25. 78
  26. Complementary
  27. 48
  28. 33
  29. Complementary
  30. 56
  31. 9
  32. 79
  33. 98
  34. 103
  35. 90
  36. 5
  37. 7
  38. 75
  39. 146
  40. 71

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