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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 804 · 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.Are 11° and 169° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  2. 2.What is the supplement of 52° (in degrees)?
  3. 3.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 52°. What is its alternate interior angle (in degrees)?
  7. 7.What is the supplement of 159° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 57°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Are 35° and 145° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  10. 10.Are 11° and 79° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  11. 11.What is the supplement of 117° (in degrees)?
  12. 12.What is the supplement of 6° (in degrees)?
  13. 13.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 151°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the supplement of 33° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 40°. What is the angle vertically opposite to it (in degrees)?
  17. 17.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)?
  18. 18.Two angles are supplementary. One is 110° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 124°. What is the angle vertically opposite to it (in degrees)?
  22. 22.What is the supplement of 60° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.Are 75° and 42° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  25. 25.What is the supplement of 54° (in degrees)?
  26. 26.Two angles are supplementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  27. 27.What is the complement of 53° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 40°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.What is the complement of 81° (in degrees)?
  30. 30.What is the complement of 66° (in degrees)?
  31. 31.Are 67° and 23° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  32. 32.Two straight lines cross each other. One of the angles formed is 60°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 55°. What is its alternate interior angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 160°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 66°. What is its corresponding angle (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 53°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the complement of 32° (in degrees)?
  40. 40.What is the supplement of 67° (in degrees)?

Answer key

  1. Supplementary
  2. 128
  3. 66
  4. 46
  5. 69
  6. 52
  7. 21
  8. 57
  9. Supplementary
  10. Complementary
  11. 63
  12. 174
  13. 63
  14. 151
  15. 147
  16. 40
  17. 40
  18. 145
  19. 61
  20. 64
  21. 124
  22. 120
  23. 132
  24. Neither
  25. 126
  26. 114
  27. 37
  28. 140
  29. 9
  30. 24
  31. Complementary
  32. 60
  33. 131
  34. 55
  35. 160
  36. 66
  37. 127
  38. 99
  39. 58
  40. 113

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