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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 324 · 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 150° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  2. 2.Are 77° and 13° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.Two straight lines cross each other. One of the angles formed is 158°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 108°. What is its alternate interior angle (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 132°. What is its alternate interior angle (in degrees)?
  7. 7.What is the complement of 82° (in degrees)?
  8. 8.Two angles are supplementary. One is 110° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the supplement of 103° (in degrees)?
  10. 10.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the supplement of 5° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 75°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 63°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 51°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the complement of 60° (in degrees)?
  16. 16.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 99°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.What is the complement of 7° (in degrees)?
  20. 20.Two angles are supplementary. One is 76° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 142°. What is its alternate interior angle (in degrees)?
  23. 23.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 52°. What is the angle vertically opposite to it (in degrees)?
  26. 26.What is the supplement of 8° (in degrees)?
  27. 27.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the complement of 16° (in degrees)?
  29. 29.What is the supplement of 141° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 76°. What is its corresponding angle (in degrees)?
  31. 31.Are 63° and 83° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  32. 32.What is the supplement of 107° (in degrees)?
  33. 33.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)?
  34. 34.What is the supplement of 24° (in degrees)?
  35. 35.What is the complement of 76° (in degrees)?
  36. 36.What is the supplement of 15° (in degrees)?
  37. 37.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  38. 38.Are 79° and 11° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  39. 39.What is the complement of 66° (in degrees)?
  40. 40.Are 76° and 167° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither

Answer key

  1. Neither
  2. Complementary
  3. 22
  4. 108
  5. 75
  6. 132
  7. 8
  8. 145
  9. 77
  10. 69
  11. 175
  12. 105
  13. 63
  14. 51
  15. 30
  16. 153
  17. 80
  18. 81
  19. 83
  20. 128
  21. 144
  22. 142
  23. 143
  24. 141
  25. 52
  26. 172
  27. 47
  28. 74
  29. 39
  30. 76
  31. Neither
  32. 73
  33. 124
  34. 156
  35. 14
  36. 165
  37. 48
  38. Complementary
  39. 24
  40. Neither

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