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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 617 · 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 straight lines cross each other. One of the angles formed is 147°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 68° (in degrees)?
  4. 4.What is the supplement of 63° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 46°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the supplement of 16° (in degrees)?
  11. 11.What is the complement of 84° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 50°. What is the angle next to it on the same line (in degrees)?
  13. 13.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its alternate interior angle (in degrees)?
  15. 15.What is the supplement of 49° (in degrees)?
  16. 16.Are 64° and 116° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  17. 17.What is the supplement of 43° (in degrees)?
  18. 18.Are 58° and 32° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  19. 19.Two straight lines cross each other. One of the angles formed is 111°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Are 52° and 128° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  21. 21.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 139°. What is the angle next to it on the same line (in degrees)?
  23. 23.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the supplement of 174° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 66°. What is its corresponding angle (in degrees)?
  26. 26.Are 70° and 20° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  27. 27.What is the complement of 76° (in degrees)?
  28. 28.What is the complement of 62° (in degrees)?
  29. 29.What is the supplement of 117° (in degrees)?
  30. 30.What is the complement of 12° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 40°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.What is the supplement of 129° (in degrees)?
  33. 33.What is the supplement of 118° (in degrees)?
  34. 34.What is the supplement of 41° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 116°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.What is the complement of 37° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 73°. What is its alternate interior angle (in degrees)?
  38. 38.What is the complement of 35° (in degrees)?
  39. 39.What is the supplement of 58° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. 147
  2. 144
  3. 112
  4. 117
  5. 134
  6. 46
  7. 65
  8. 58
  9. 125
  10. 164
  11. 6
  12. 130
  13. 139
  14. 115
  15. 131
  16. Supplementary
  17. 137
  18. Complementary
  19. 111
  20. Supplementary
  21. 62
  22. 41
  23. 153
  24. 6
  25. 66
  26. Complementary
  27. 14
  28. 28
  29. 63
  30. 78
  31. 140
  32. 51
  33. 62
  34. 139
  35. 64
  36. 53
  37. 73
  38. 55
  39. 122
  40. 70

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