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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 153 · 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 79°. What is the angle next to it on the same line (in degrees)?
  2. 2.What is the complement of 51° (in degrees)?
  3. 3.What is the complement of 33° (in degrees)?
  4. 4.What is the supplement of 14° (in degrees)?
  5. 5.What is the supplement of 57° (in degrees)?
  6. 6.What is the supplement of 107° (in degrees)?
  7. 7.What is the supplement of 97° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 68°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the supplement of 159° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 56°. What is the angle next to it on the same line (in degrees)?
  12. 12.What is the supplement of 155° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 108°. What is the angle next to it on the same line (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 99°. What is its alternate interior angle (in degrees)?
  15. 15.What is the supplement of 170° (in degrees)?
  16. 16.What is the complement of 70° (in degrees)?
  17. 17.Are 17° and 73° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  18. 18.What is the supplement of 154° (in degrees)?
  19. 19.What is the supplement of 49° (in degrees)?
  20. 20.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the supplement of 174° (in degrees)?
  22. 22.What is the complement of 15° (in degrees)?
  23. 23.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  24. 24.Are 40° and 170° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  25. 25.Two straight lines cross each other. One of the angles formed is 159°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 136°. What is its alternate interior angle (in degrees)?
  27. 27.What is the supplement of 36° (in degrees)?
  28. 28.Are 52° and 38° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  29. 29.What is the supplement of 91° (in degrees)?
  30. 30.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the complement of 84° (in degrees)?
  32. 32.What is the supplement of 99° (in degrees)?
  33. 33.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 51°. What is its alternate interior angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 100°. What is the angle vertically opposite to it (in degrees)?
  36. 36.What is the complement of 85° (in degrees)?
  37. 37.What is the supplement of 44° (in degrees)?
  38. 38.Are 42° and 138° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  39. 39.What is the supplement of 102° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 140°. What is its corresponding angle (in degrees)?

Answer key

  1. 101
  2. 39
  3. 57
  4. 166
  5. 123
  6. 73
  7. 83
  8. 68
  9. 47
  10. 21
  11. 124
  12. 25
  13. 72
  14. 99
  15. 10
  16. 20
  17. Complementary
  18. 26
  19. 131
  20. 49
  21. 6
  22. 75
  23. 99
  24. Neither
  25. 159
  26. 136
  27. 144
  28. Complementary
  29. 89
  30. 144
  31. 6
  32. 81
  33. 95
  34. 51
  35. 100
  36. 5
  37. 136
  38. Supplementary
  39. 78
  40. 140

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