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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 929 · 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 124° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the complement of 82° (in degrees)?
  5. 5.What is the supplement of 144° (in degrees)?
  6. 6.What is the complement of 46° (in degrees)?
  7. 7.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two angles are supplementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two angles are complementary. One is 26° 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 43°. What is its other interior angle on the same side of the transversal (in degrees)?
  11. 11.What is the complement of 50° (in degrees)?
  12. 12.What is the complement of 28° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 149°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 46°. What is its other interior angle on the same side of the transversal (in degrees)?
  15. 15.Two angles are supplementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the supplement of 59° (in degrees)?
  17. 17.What is the supplement of 29° (in degrees)?
  18. 18.Are 57° and 48° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.Two straight lines cross each other. One of the angles formed is 72°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the complement of 34° (in degrees)?
  21. 21.What is the complement of 10° (in degrees)?
  22. 22.What is the supplement of 41° (in degrees)?
  23. 23.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 146°. What is its corresponding angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 95°. What is its corresponding angle (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 147°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two angles are complementary. One is 48° 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 117°. What is the angle vertically opposite to it (in degrees)?
  29. 29.What is the complement of 8° (in degrees)?
  30. 30.What is the supplement of 60° (in degrees)?
  31. 31.Are 49° and 41° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  32. 32.Are 67° and 117° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  33. 33.Are 28° and 152° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  34. 34.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 50°. What is its corresponding angle (in degrees)?
  36. 36.What is the complement of 24° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.Are 75° and 15° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  39. 39.Are 60° and 57° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  40. 40.Are 59° and 37° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary

Answer key

  1. 152
  2. 53
  3. 155
  4. 8
  5. 36
  6. 44
  7. 157
  8. 92
  9. 58
  10. 137
  11. 40
  12. 62
  13. 31
  14. 134
  15. 124
  16. 121
  17. 151
  18. Neither
  19. 72
  20. 56
  21. 80
  22. 139
  23. 110
  24. 146
  25. 95
  26. 147
  27. 69
  28. 117
  29. 82
  30. 120
  31. Complementary
  32. Neither
  33. Supplementary
  34. 49
  35. 50
  36. 66
  37. 66
  38. Complementary
  39. Neither
  40. Neither

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