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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 520 · 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.What is the complement of 57° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 70°. What is the angle vertically opposite to it (in degrees)?
  3. 3.What is the supplement of 13° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 44°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
  6. 6.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  7. 7.Are 23° and 157° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  8. 8.What is the complement of 27° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 93°. What is the angle next to it on the same line (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 137°. What is the angle next to it on the same line (in degrees)?
  11. 11.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 109°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the supplement of 41° (in degrees)?
  14. 14.What is the complement of 45° (in degrees)?
  15. 15.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 128°. What is the angle vertically opposite to it (in degrees)?
  17. 17.What is the supplement of 49° (in degrees)?
  18. 18.What is the complement of 54° (in degrees)?
  19. 19.Are 47° and 43° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  20. 20.Two straight lines cross each other. One of the angles formed is 120°. What is the angle next to it on the same line (in degrees)?
  21. 21.Are 37° and 53° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 116°. What is its alternate interior angle (in degrees)?
  23. 23.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the supplement of 126° (in degrees)?
  25. 25.Are 60° and 30° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  26. 26.Are 62° and 118° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  27. 27.Are 19° and 44° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  28. 28.Are 27° and 63° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  29. 29.Two straight lines cross each other. One of the angles formed is 104°. What is the angle vertically opposite to it (in degrees)?
  30. 30.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)?
  31. 31.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its alternate interior angle (in degrees)?
  33. 33.What is the supplement of 10° (in degrees)?
  34. 34.What is the supplement of 46° (in degrees)?
  35. 35.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  37. 37.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the complement of 29° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 33
  2. 70
  3. 167
  4. 136
  5. 55
  6. 65
  7. Supplementary
  8. 63
  9. 87
  10. 43
  11. 68
  12. 109
  13. 139
  14. 45
  15. 58
  16. 128
  17. 131
  18. 36
  19. Complementary
  20. 60
  21. Complementary
  22. 116
  23. 103
  24. 54
  25. Complementary
  26. Supplementary
  27. Neither
  28. Complementary
  29. 104
  30. 129
  31. 62
  32. 130
  33. 170
  34. 134
  35. 153
  36. 54
  37. 50
  38. 61
  39. 126
  40. 53

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