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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 670 · 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 45° (in degrees)?
  2. 2.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 43°. What is the angle next to it on the same line (in degrees)?
  4. 4.What is the complement of 76° (in degrees)?
  5. 5.Are 72° and 18° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  6. 6.What is the complement of 26° (in degrees)?
  7. 7.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?
  8. 8.Are 25° and 155° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its alternate interior angle (in degrees)?
  10. 10.Are 38° and 52° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  11. 11.Two straight lines cross each other. One of the angles formed is 110°. What is the angle next to it on the same line (in degrees)?
  12. 12.What is the complement of 21° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 78°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Are 31° and 165° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  15. 15.Two straight lines cross each other. One of the angles formed is 140°. What is the angle next to it on the same line (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 127°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Are 78° and 12° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 50°. What is its alternate interior angle (in degrees)?
  20. 20.What is the complement of 32° (in degrees)?
  21. 21.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 99° (in degrees)?
  23. 23.What is the complement of 85° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 86°. What is its corresponding angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 107°. What is its corresponding angle (in degrees)?
  26. 26.What is the supplement of 171° (in degrees)?
  27. 27.What is the supplement of 146° (in degrees)?
  28. 28.What is the complement of 81° (in degrees)?
  29. 29.What is the supplement of 25° (in degrees)?
  30. 30.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the supplement of 7° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 118°. What is its corresponding angle (in degrees)?
  33. 33.What is the supplement of 9° (in degrees)?
  34. 34.What is the complement of 79° (in degrees)?
  35. 35.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the complement of 60° (in degrees)?
  37. 37.What is the complement of 83° (in degrees)?
  38. 38.What is the supplement of 160° (in degrees)?
  39. 39.Are 80° and 10° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.Two straight lines cross each other. One of the angles formed is 25°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 45
  2. 136
  3. 137
  4. 14
  5. Complementary
  6. 64
  7. 154
  8. Supplementary
  9. 71
  10. Complementary
  11. 70
  12. 69
  13. 78
  14. Neither
  15. 40
  16. 61
  17. 127
  18. Complementary
  19. 50
  20. 58
  21. 68
  22. 81
  23. 5
  24. 86
  25. 107
  26. 9
  27. 34
  28. 9
  29. 155
  30. 48
  31. 173
  32. 118
  33. 171
  34. 11
  35. 120
  36. 30
  37. 7
  38. 20
  39. Complementary
  40. 155

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