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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 830 · 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 26° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 146°. What is its alternate interior angle (in degrees)?
  3. 3.What is the complement of 18° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 54°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its alternate interior angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its alternate interior angle (in degrees)?
  7. 7.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two angles are supplementary. One is 140° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the supplement of 122° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 28°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the complement of 77° (in degrees)?
  13. 13.Are 18° and 72° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  14. 14.What is the supplement of 124° (in degrees)?
  15. 15.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  17. 17.Are 50° and 130° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  18. 18.Are 42° and 138° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its alternate interior angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 48°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 134°. What is its alternate interior angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 143°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 159°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 51°. What is its alternate interior angle (in degrees)?
  25. 25.What is the complement of 39° (in degrees)?
  26. 26.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.Are 77° and 13° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  30. 30.Are 13° and 77° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  31. 31.What is the complement of 8° (in degrees)?
  32. 32.What is the supplement of 82° (in degrees)?
  33. 33.Two angles are complementary. One is 6° 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 124°. What is its alternate interior angle (in degrees)?
  35. 35.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 42°. What is its alternate interior angle (in degrees)?
  37. 37.Are 33° and 57° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the supplement of 77° (in degrees)?
  40. 40.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 64
  2. 146
  3. 72
  4. 126
  5. 145
  6. 115
  7. 73
  8. 160
  9. 74
  10. 58
  11. 28
  12. 13
  13. Complementary
  14. 56
  15. 150
  16. 65
  17. Supplementary
  18. Supplementary
  19. 59
  20. 132
  21. 134
  22. 37
  23. 159
  24. 51
  25. 51
  26. 59
  27. 94
  28. 35
  29. Complementary
  30. Complementary
  31. 82
  32. 98
  33. 48
  34. 124
  35. 139
  36. 42
  37. Complementary
  38. 155
  39. 103
  40. 61

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