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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 823 · 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 straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.What is the complement of 6° (in degrees)?
  5. 5.Are 22° and 88° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  6. 6.What is the complement of 37° (in degrees)?
  7. 7.What is the supplement of 169° (in degrees)?
  8. 8.Two angles are complementary. One is 62° 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 84°. What is the angle next to it on the same line (in degrees)?
  10. 10.Are 47° and 43° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  13. 13.Are 70° and 127° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  14. 14.What is the supplement of 160° (in degrees)?
  15. 15.What is the supplement of 34° (in degrees)?
  16. 16.What is the complement of 65° (in degrees)?
  17. 17.What is the complement of 72° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 22°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Are 23° and 67° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  20. 20.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the supplement of 13° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 92°. What is the angle vertically opposite to it (in degrees)?
  23. 23.What is the supplement of 157° (in degrees)?
  24. 24.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  25. 25.Are 21° and 69° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its alternate interior angle (in degrees)?
  27. 27.What is the supplement of 79° (in degrees)?
  28. 28.What is the supplement of 28° (in degrees)?
  29. 29.What is the supplement of 87° (in degrees)?
  30. 30.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  31. 31.Are 63° and 27° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  32. 32.Two parallel lines are cut by a transversal. One angle is 133°. What is its corresponding angle (in degrees)?
  33. 33.Are 54° and 36° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.Two straight lines cross each other. One of the angles formed is 151°. What is the angle next to it on the same line (in degrees)?
  35. 35.What is the supplement of 98° (in degrees)?
  36. 36.What is the complement of 63° (in degrees)?
  37. 37.What is the supplement of 167° (in degrees)?
  38. 38.What is the supplement of 101° (in degrees)?
  39. 39.Are 34° and 56° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. 120
  2. 49
  3. 132
  4. 84
  5. Neither
  6. 53
  7. 11
  8. 76
  9. 96
  10. Complementary
  11. 145
  12. 110
  13. Neither
  14. 20
  15. 146
  16. 25
  17. 18
  18. 22
  19. Complementary
  20. 146
  21. 167
  22. 92
  23. 23
  24. 93
  25. Complementary
  26. 35
  27. 101
  28. 152
  29. 93
  30. 122
  31. Complementary
  32. 133
  33. Complementary
  34. 29
  35. 82
  36. 27
  37. 13
  38. 79
  39. Complementary
  40. 94

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