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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 697 · 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 75° (in degrees)?
  2. 2.Are 78° and 102° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  3. 3.What is the supplement of 175° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 36°. What is its corresponding angle (in degrees)?
  5. 5.Two angles are supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 75°. What is its alternate interior angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 35°. What is the angle next to it on the same line (in degrees)?
  9. 9.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 142°. What is its corresponding angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 95°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the complement of 18° (in degrees)?
  13. 13.What is the complement of 20° (in degrees)?
  14. 14.Are 13° and 167° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  15. 15.What is the supplement of 162° (in degrees)?
  16. 16.Are 49° and 41° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  17. 17.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the supplement of 106° (in degrees)?
  19. 19.What is the supplement of 153° (in degrees)?
  20. 20.What is the complement of 65° (in degrees)?
  21. 21.What is the complement of 71° (in degrees)?
  22. 22.Are 66° and 114° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  23. 23.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its alternate interior angle (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 58°. What is the angle next to it on the same line (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 106°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.What is the supplement of 118° (in degrees)?
  29. 29.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)?
  30. 30.What is the complement of 31° (in degrees)?
  31. 31.What is the supplement of 166° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 83°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.Are 18° and 162° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  34. 34.Two parallel lines are cut by a transversal. One angle is 105°. What is its corresponding angle (in degrees)?
  35. 35.What is the supplement of 95° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 69°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its alternate interior angle (in degrees)?
  38. 38.What is the supplement of 126° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 83°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 15
  2. Supplementary
  3. 5
  4. 36
  5. 132
  6. 103
  7. 75
  8. 145
  9. 91
  10. 142
  11. 95
  12. 72
  13. 70
  14. Supplementary
  15. 18
  16. Complementary
  17. 150
  18. 74
  19. 27
  20. 25
  21. 19
  22. Supplementary
  23. 64
  24. 119
  25. 104
  26. 122
  27. 74
  28. 62
  29. 136
  30. 59
  31. 14
  32. 97
  33. Supplementary
  34. 105
  35. 85
  36. 111
  37. 59
  38. 54
  39. 82
  40. 83

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