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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 166 · 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 99°. What is the angle next to it on the same line (in degrees)?
  2. 2.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  3. 3.Are 58° and 122° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  4. 4.Two straight lines cross each other. One of the angles formed is 147°. What is the angle vertically opposite to it (in degrees)?
  5. 5.What is the complement of 33° (in degrees)?
  6. 6.What is the complement of 42° (in degrees)?
  7. 7.What is the complement of 67° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 146°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 69°. What is its corresponding angle (in degrees)?
  10. 10.Two angles are supplementary. One is 108° 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 97°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 35°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the complement of 31° (in degrees)?
  14. 14.Are 13° and 167° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  15. 15.What is the complement of 18° (in degrees)?
  16. 16.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 105° (in degrees)?
  18. 18.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 149°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Two angles are supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the complement of 65° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 34°. What is its alternate interior angle (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 91°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 126°. What is its alternate interior angle (in degrees)?
  25. 25.What is the complement of 58° (in degrees)?
  26. 26.Are 15° and 75° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  27. 27.Are 65° and 115° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.What is the supplement of 28° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the supplement of 47° (in degrees)?
  32. 32.What is the supplement of 122° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its alternate interior angle (in degrees)?
  34. 34.What is the supplement of 166° (in degrees)?
  35. 35.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  36. 36.Are 61° and 29° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.What is the supplement of 49° (in degrees)?
  38. 38.Are 66° and 100° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.What is the supplement of 159° (in degrees)?
  40. 40.What is the complement of 39° (in degrees)?

Answer key

  1. 81
  2. 77
  3. Supplementary
  4. 147
  5. 57
  6. 48
  7. 23
  8. 146
  9. 69
  10. 144
  11. 83
  12. 35
  13. 59
  14. Supplementary
  15. 72
  16. 120
  17. 75
  18. 66
  19. 149
  20. 132
  21. 25
  22. 34
  23. 91
  24. 126
  25. 32
  26. Complementary
  27. Supplementary
  28. 152
  29. 30
  30. 71
  31. 133
  32. 58
  33. 48
  34. 14
  35. 63
  36. Complementary
  37. 131
  38. Neither
  39. 21
  40. 51

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