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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 879 · 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 complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the supplement of 172° (in degrees)?
  3. 3.What is the complement of 51° (in degrees)?
  4. 4.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 15° (in degrees)?
  6. 6.Are 52° and 167° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  7. 7.What is the supplement of 112° (in degrees)?
  8. 8.What is the complement of 6° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 119°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 89°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Are 72° and 18° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  12. 12.Are 56° and 34° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  13. 13.What is the complement of 84° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 62°. What is the angle next to it on the same line (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 140°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Are 72° and 108° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  18. 18.Two parallel lines are cut by a transversal. One angle is 70°. What is its corresponding angle (in degrees)?
  19. 19.What is the complement of 68° (in degrees)?
  20. 20.What is the supplement of 158° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 154°. What is the angle next to it on the same line (in degrees)?
  22. 22.What is the complement of 60° (in degrees)?
  23. 23.What is the supplement of 50° (in degrees)?
  24. 24.What is the complement of 26° (in degrees)?
  25. 25.What is the supplement of 164° (in degrees)?
  26. 26.What is the complement of 28° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 80°. What is its alternate interior angle (in degrees)?
  28. 28.What is the supplement of 97° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One angle is 91°. What is its corresponding angle (in degrees)?
  30. 30.Are 72° and 60° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its alternate interior angle (in degrees)?
  32. 32.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 136°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  37. 37.Are 10° and 28° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  38. 38.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 21°. What is the angle next to it on the same line (in degrees)?
  40. 40.Are 31° and 59° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary

Answer key

  1. 53
  2. 8
  3. 39
  4. 97
  5. 165
  6. Neither
  7. 68
  8. 84
  9. 61
  10. 89
  11. Complementary
  12. Complementary
  13. 6
  14. 49
  15. 118
  16. 40
  17. Supplementary
  18. 70
  19. 22
  20. 22
  21. 26
  22. 30
  23. 130
  24. 64
  25. 16
  26. 62
  27. 80
  28. 83
  29. 91
  30. Neither
  31. 41
  32. 73
  33. 57
  34. 91
  35. 136
  36. 96
  37. Neither
  38. 68
  39. 159
  40. Complementary

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