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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 831 · 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 angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 59° (in degrees)?
  3. 3.What is the supplement of 70° (in degrees)?
  4. 4.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  6. 6.Are 29° and 151° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  7. 7.Two straight lines cross each other. One of the angles formed is 125°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 81°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.What is the complement of 76° (in degrees)?
  10. 10.What is the complement of 10° (in degrees)?
  11. 11.What is the complement of 19° (in degrees)?
  12. 12.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  13. 13.Are 19° and 71° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  14. 14.Are 13° and 167° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  15. 15.What is the complement of 29° (in degrees)?
  16. 16.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 97°. What is its alternate interior angle (in degrees)?
  18. 18.Are 51° and 39° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.What is the complement of 73° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 102°. What is the angle next to it on the same line (in degrees)?
  21. 21.What is the supplement of 69° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 112°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 123°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the supplement of 10° (in degrees)?
  26. 26.What is the complement of 42° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 141°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its alternate interior angle (in degrees)?
  29. 29.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 95°. What is the angle next to it on the same line (in degrees)?
  32. 32.Are 57° and 102° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  33. 33.Two straight lines cross each other. One of the angles formed is 56°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  35. 35.Are 73° and 129° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  36. 36.Two straight lines cross each other. One of the angles formed is 24°. What is the angle next to it on the same line (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Are 40° and 50° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  39. 39.Are 72° and 127° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  40. 40.Two angles are supplementary. One is 76° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 94
  2. 31
  3. 110
  4. 135
  5. 51
  6. Supplementary
  7. 125
  8. 99
  9. 14
  10. 80
  11. 71
  12. 144
  13. Complementary
  14. Supplementary
  15. 61
  16. 68
  17. 97
  18. Complementary
  19. 17
  20. 78
  21. 111
  22. 112
  23. 123
  24. 136
  25. 170
  26. 48
  27. 39
  28. 115
  29. 73
  30. 70
  31. 85
  32. Neither
  33. 56
  34. 53
  35. Neither
  36. 156
  37. 61
  38. Complementary
  39. Neither
  40. 128

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