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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 580 · 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 74° 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 59°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the complement of 22° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 95°. What is its alternate interior angle (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 63°. What is the angle vertically opposite to it (in degrees)?
  7. 7.What is the complement of 42° (in degrees)?
  8. 8.What is the complement of 5° (in degrees)?
  9. 9.What is the supplement of 117° (in degrees)?
  10. 10.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the complement of 37° (in degrees)?
  12. 12.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  13. 13.Are 21° and 69° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  14. 14.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 76°. What is its alternate interior angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 51°. What is the angle next to it on the same line (in degrees)?
  18. 18.Are 63° and 27° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.Two straight lines cross each other. One of the angles formed is 151°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the supplement of 86° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One angle is 45°. What is its corresponding angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 47°. 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 interior angle is 75°. What is its alternate interior angle (in degrees)?
  24. 24.What is the complement of 50° (in degrees)?
  25. 25.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the supplement of 74° (in degrees)?
  27. 27.Are 32° and 54° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  28. 28.Are 71° and 119° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.What is the complement of 58° (in degrees)?
  30. 30.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  31. 31.Are 63° and 117° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  32. 32.Are 77° and 103° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  33. 33.What is the complement of 77° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 134°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 126°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  37. 37.Are 21° and 37° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.What is the supplement of 155° (in degrees)?
  39. 39.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?
  40. 40.Are 77° and 13° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary

Answer key

  1. 127
  2. 59
  3. 77
  4. 68
  5. 95
  6. 63
  7. 48
  8. 85
  9. 63
  10. 61
  11. 53
  12. 102
  13. Complementary
  14. 53
  15. 105
  16. 76
  17. 129
  18. Complementary
  19. 151
  20. 94
  21. 45
  22. 133
  23. 75
  24. 40
  25. 74
  26. 106
  27. Neither
  28. Neither
  29. 32
  30. 103
  31. Supplementary
  32. Supplementary
  33. 13
  34. 46
  35. 126
  36. 54
  37. Neither
  38. 25
  39. 139
  40. Complementary

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