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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 288 · 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 45°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two angles are supplementary. One is 116° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 60°. What is its corresponding angle (in degrees)?
  4. 4.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  5. 5.Are 58° and 45° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  6. 6.Two parallel lines are cut by a transversal. One angle is 142°. What is its corresponding angle (in degrees)?
  7. 7.What is the complement of 19° (in degrees)?
  8. 8.What is the complement of 16° (in degrees)?
  9. 9.Are 34° and 54° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  10. 10.Are 72° and 108° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  11. 11.What is the supplement of 117° (in degrees)?
  12. 12.What is the supplement of 35° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 129°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.What is the complement of 77° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  17. 17.Are 32° and 58° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  18. 18.Are 28° and 90° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.Are 57° and 142° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  20. 20.Two straight lines cross each other. One of the angles formed is 49°. What is the angle next to it on the same line (in degrees)?
  21. 21.What is the supplement of 162° (in degrees)?
  22. 22.What is the supplement of 22° (in degrees)?
  23. 23.Are 35° and 145° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 129°. What is its corresponding angle (in degrees)?
  26. 26.What is the complement of 71° (in degrees)?
  27. 27.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  28. 28.Are 24° and 66° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 37°. What is its alternate interior angle (in degrees)?
  30. 30.Are 21° and 69° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  31. 31.Are 44° and 64° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  32. 32.What is the complement of 8° (in degrees)?
  33. 33.Are 46° and 134° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  34. 34.What is the supplement of 163° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 50°. What is its alternate interior angle (in degrees)?
  36. 36.Are 20° and 124° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  37. 37.What is the complement of 58° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 118°. What is the angle vertically opposite to it (in degrees)?
  39. 39.What is the complement of 46° (in degrees)?
  40. 40.What is the supplement of 170° (in degrees)?

Answer key

  1. 45
  2. 148
  3. 60
  4. 74
  5. Neither
  6. 142
  7. 71
  8. 74
  9. Neither
  10. Supplementary
  11. 63
  12. 145
  13. 51
  14. 13
  15. 61
  16. 49
  17. Complementary
  18. Neither
  19. Neither
  20. 131
  21. 18
  22. 158
  23. Supplementary
  24. 69
  25. 129
  26. 19
  27. 142
  28. Complementary
  29. 37
  30. Complementary
  31. Neither
  32. 82
  33. Supplementary
  34. 17
  35. 50
  36. Neither
  37. 32
  38. 118
  39. 44
  40. 10

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