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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 604 · 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 22° more than the other. What is the bigger angle (in degrees)?
  2. 2.Are 66° and 24° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.What is the supplement of 87° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 59°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 116°. What is the angle vertically opposite to it (in degrees)?
  6. 6.Are 74° and 106° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 35° (in degrees)?
  9. 9.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)?
  10. 10.What is the supplement of 112° (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Are 68° and 144° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  14. 14.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 106°. What is the angle next to it on the same line (in degrees)?
  16. 16.What is the complement of 63° (in degrees)?
  17. 17.What is the complement of 5° (in degrees)?
  18. 18.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 131°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the complement of 31° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Are 77° and 142° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  24. 24.What is the supplement of 138° (in degrees)?
  25. 25.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the supplement of 41° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 141°. What is the angle next to it on the same line (in degrees)?
  28. 28.What is the complement of 58° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its alternate interior angle (in degrees)?
  30. 30.What is the complement of 57° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 113°. What is its corresponding angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 47°. What is the angle vertically opposite to it (in degrees)?
  33. 33.What is the complement of 82° (in degrees)?
  34. 34.Are 10° and 170° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  35. 35.Are 25° and 155° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  36. 36.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.Are 10° and 5° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  39. 39.Are 79° and 11° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.Are 23° and 67° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary

Answer key

  1. 56
  2. Complementary
  3. 93
  4. 59
  5. 116
  6. Supplementary
  7. 54
  8. 55
  9. 85
  10. 68
  11. 126
  12. 149
  13. Neither
  14. 53
  15. 74
  16. 27
  17. 85
  18. 110
  19. 131
  20. 59
  21. 144
  22. 133
  23. Neither
  24. 42
  25. 152
  26. 139
  27. 39
  28. 32
  29. 78
  30. 33
  31. 113
  32. 47
  33. 8
  34. Supplementary
  35. Supplementary
  36. 72
  37. 136
  38. Neither
  39. Complementary
  40. Complementary

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