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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 91 · 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 17° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 156°. What is the angle next to it on the same line (in degrees)?
  3. 3.What is the complement of 83° (in degrees)?
  4. 4.What is the supplement of 76° (in degrees)?
  5. 5.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the supplement of 97° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 50°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Are 17° and 73° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  9. 9.Are 11° and 79° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  10. 10.Are 40° and 11° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  11. 11.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 69°. What is the angle vertically opposite to it (in degrees)?
  14. 14.What is the supplement of 17° (in degrees)?
  15. 15.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 136°. What is its alternate interior angle (in degrees)?
  17. 17.What is the supplement of 14° (in degrees)?
  18. 18.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the supplement of 163° (in degrees)?
  20. 20.What is the supplement of 34° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 117°. What is the angle next to it on the same line (in degrees)?
  22. 22.What is the complement of 12° (in degrees)?
  23. 23.What is the complement of 24° (in degrees)?
  24. 24.What is the complement of 13° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 80°. What is the angle next to it on the same line (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 29°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 32°. What is its alternate interior angle (in degrees)?
  28. 28.What is the complement of 11° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 63°. What is the angle next to it on the same line (in degrees)?
  30. 30.What is the supplement of 29° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 119°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Are 30° and 46° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  33. 33.Two straight lines cross each other. One of the angles formed is 135°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 60°. What is the angle next to it on the same line (in degrees)?
  35. 35.What is the complement of 53° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 76°. What is the angle next to it on the same line (in degrees)?
  37. 37.What is the supplement of 116° (in degrees)?
  38. 38.What is the supplement of 20° (in degrees)?
  39. 39.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 73
  2. 24
  3. 7
  4. 104
  5. 93
  6. 83
  7. 50
  8. Complementary
  9. Complementary
  10. Neither
  11. 152
  12. 98
  13. 69
  14. 163
  15. 49
  16. 136
  17. 166
  18. 53
  19. 17
  20. 146
  21. 63
  22. 78
  23. 66
  24. 77
  25. 100
  26. 29
  27. 32
  28. 79
  29. 117
  30. 151
  31. 119
  32. Neither
  33. 135
  34. 120
  35. 37
  36. 104
  37. 64
  38. 160
  39. 115
  40. 77

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