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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 65 · 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.What is the complement of 49° (in degrees)?
  2. 2.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)?
  3. 3.Two straight lines cross each other. One of the angles formed is 117°. What is the angle next to it on the same line (in degrees)?
  4. 4.Are 36° and 54° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  5. 5.Two straight lines cross each other. One of the angles formed is 83°. What is the angle vertically opposite to it (in degrees)?
  6. 6.What is the complement of 42° (in degrees)?
  7. 7.What is the supplement of 125° (in degrees)?
  8. 8.Two angles are supplementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its alternate interior angle (in degrees)?
  11. 11.Are 13° and 77° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  12. 12.Two angles are supplementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  13. 13.Are 52° and 59° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 124°. What is its alternate interior angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 73°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 111°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 99°. What is its alternate interior angle (in degrees)?
  19. 19.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  20. 20.Are 54° and 126° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  21. 21.Are 24° and 156° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  22. 22.Two straight lines cross each other. One of the angles formed is 123°. What is the angle next to it on the same line (in degrees)?
  23. 23.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  24. 24.Are 16° and 126° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  25. 25.What is the supplement of 138° (in degrees)?
  26. 26.What is the complement of 59° (in degrees)?
  27. 27.Are 79° and 101° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  28. 28.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  29. 29.Are 80° and 100° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  30. 30.What is the complement of 40° (in degrees)?
  31. 31.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the complement of 20° (in degrees)?
  33. 33.What is the supplement of 170° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its alternate interior angle (in degrees)?
  35. 35.What is the complement of 11° (in degrees)?
  36. 36.What is the supplement of 107° (in degrees)?
  37. 37.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the complement of 63° (in degrees)?
  39. 39.Are 26° and 154° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  40. 40.Are 19° and 71° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary

Answer key

  1. 41
  2. 110
  3. 63
  4. Complementary
  5. 83
  6. 48
  7. 55
  8. 116
  9. 51
  10. 115
  11. Complementary
  12. 92
  13. Neither
  14. 124
  15. 73
  16. 111
  17. 63
  18. 99
  19. 63
  20. Supplementary
  21. Supplementary
  22. 57
  23. 151
  24. Neither
  25. 42
  26. 31
  27. Supplementary
  28. 56
  29. Supplementary
  30. 50
  31. 123
  32. 70
  33. 10
  34. 70
  35. 79
  36. 73
  37. 62
  38. 27
  39. Supplementary
  40. Complementary

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