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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 407 · 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 supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 32° (in degrees)?
  3. 3.What is the supplement of 25° (in degrees)?
  4. 4.What is the complement of 74° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 75°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.What is the supplement of 64° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 78°. What is the angle next to it on the same line (in degrees)?
  8. 8.What is the supplement of 84° (in degrees)?
  9. 9.What is the complement of 62° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 105°. What is its other interior angle on the same side of the transversal (in degrees)?
  11. 11.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the supplement of 27° (in degrees)?
  14. 14.What is the complement of 26° (in degrees)?
  15. 15.What is the supplement of 90° (in degrees)?
  16. 16.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 53°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.What is the supplement of 66° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 140°. What is its corresponding angle (in degrees)?
  20. 20.Are 71° and 39° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  21. 21.Are 13° and 168° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  22. 22.What is the supplement of 8° (in degrees)?
  23. 23.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the supplement of 44° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 104°. What is the angle next to it on the same line (in degrees)?
  26. 26.Are 24° and 6° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  27. 27.Two straight lines cross each other. One of the angles formed is 40°. What is the angle next to it on the same line (in degrees)?
  28. 28.Are 22° and 68° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the complement of 78° (in degrees)?
  31. 31.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  32. 32.Are 27° and 13° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  33. 33.Two angles are supplementary. One is 94° 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 118°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 96°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Are 20° and 160° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  37. 37.What is the complement of 17° (in degrees)?
  38. 38.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 125
  2. 58
  3. 155
  4. 16
  5. 105
  6. 116
  7. 102
  8. 96
  9. 28
  10. 75
  11. 49
  12. 42
  13. 153
  14. 64
  15. 90
  16. 141
  17. 127
  18. 114
  19. 140
  20. Neither
  21. Neither
  22. 172
  23. 129
  24. 136
  25. 76
  26. Neither
  27. 140
  28. Complementary
  29. 66
  30. 12
  31. 74
  32. Neither
  33. 137
  34. 62
  35. 96
  36. Supplementary
  37. 73
  38. 73
  39. 53
  40. 113

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