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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 477 · 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.Are 77° and 13° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  2. 2.What is the supplement of 129° (in degrees)?
  3. 3.What is the complement of 53° (in degrees)?
  4. 4.What is the complement of 16° (in degrees)?
  5. 5.Are 39° and 12° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  6. 6.Two straight lines cross each other. One of the angles formed is 113°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 102°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 30°. What is the angle next to it on the same line (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its alternate interior angle (in degrees)?
  11. 11.What is the complement of 42° (in degrees)?
  12. 12.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the supplement of 53° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 88°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the complement of 51° (in degrees)?
  16. 16.Are 59° and 116° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  17. 17.What is the supplement of 121° (in degrees)?
  18. 18.What is the complement of 7° (in degrees)?
  19. 19.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 75° (in degrees)?
  21. 21.Are 67° and 106° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  22. 22.What is the supplement of 96° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 69°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 112°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Are 72° and 29° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  26. 26.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two angles are supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?
  28. 28.Are 14° and 76° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the complement of 10° (in degrees)?
  31. 31.What is the supplement of 106° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 56°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its alternate interior angle (in degrees)?
  35. 35.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 119°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 64°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 74°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. Complementary
  2. 51
  3. 37
  4. 74
  5. Neither
  6. 113
  7. 78
  8. 104
  9. 150
  10. 128
  11. 48
  12. 49
  13. 127
  14. 88
  15. 39
  16. Neither
  17. 59
  18. 83
  19. 67
  20. 105
  21. Neither
  22. 84
  23. 111
  24. 112
  25. Neither
  26. 111
  27. 132
  28. Complementary
  29. 77
  30. 80
  31. 74
  32. 56
  33. 79
  34. 120
  35. 117
  36. 61
  37. 116
  38. 61
  39. 78
  40. 74

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