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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 85 · 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 complementary. One is 18° 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 150°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the complement of 34° (in degrees)?
  5. 5.What is the supplement of 15° (in degrees)?
  6. 6.Are 21° and 69° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  7. 7.What is the supplement of 142° (in degrees)?
  8. 8.Are 51° and 44° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  9. 9.Are 61° and 29° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  10. 10.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its alternate interior angle (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 82°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Are 53° and 37° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 82°. What is its alternate interior angle (in degrees)?
  15. 15.Are 67° and 113° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  16. 16.Two straight lines cross each other. One of the angles formed is 121°. What is the angle next to it on the same line (in degrees)?
  17. 17.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the supplement of 39° (in degrees)?
  19. 19.What is the complement of 7° (in degrees)?
  20. 20.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 48°. What is the angle vertically opposite to it (in degrees)?
  23. 23.What is the complement of 37° (in degrees)?
  24. 24.What is the supplement of 150° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 135°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Are 49° and 131° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 34°. What is the angle next to it on the same line (in degrees)?
  29. 29.What is the complement of 61° (in degrees)?
  30. 30.Are 60° and 120° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  31. 31.Two angles are supplementary. One is 136° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 111°. What is the angle vertically opposite to it (in degrees)?
  33. 33.What is the complement of 15° (in degrees)?
  34. 34.What is the complement of 28° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 134°. What is the angle vertically opposite to it (in degrees)?
  36. 36.What is the complement of 51° (in degrees)?
  37. 37.What is the complement of 23° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 39°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.Are 29° and 151° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  40. 40.Two straight lines cross each other. One of the angles formed is 54°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 54
  2. 30
  3. 101
  4. 56
  5. 165
  6. Complementary
  7. 38
  8. Neither
  9. Complementary
  10. 94
  11. 43
  12. 82
  13. Complementary
  14. 82
  15. Supplementary
  16. 59
  17. 71
  18. 141
  19. 83
  20. 51
  21. 138
  22. 48
  23. 53
  24. 30
  25. 45
  26. Supplementary
  27. 104
  28. 146
  29. 29
  30. Supplementary
  31. 158
  32. 111
  33. 75
  34. 62
  35. 134
  36. 39
  37. 67
  38. 141
  39. Supplementary
  40. 126

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