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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 245 · 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 70° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  3. 3.What is the complement of 44° (in degrees)?
  4. 4.What is the supplement of 96° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 33°. What is the angle vertically opposite to it (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 82°. What is the angle next to it on the same line (in degrees)?
  7. 7.What is the complement of 15° (in degrees)?
  8. 8.What is the complement of 30° (in degrees)?
  9. 9.Are 66° and 96° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  10. 10.Two straight lines cross each other. One of the angles formed is 134°. What is the angle next to it on the same line (in degrees)?
  11. 11.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the complement of 14° (in degrees)?
  14. 14.Are 78° and 12° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  15. 15.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)?
  16. 16.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 174° (in degrees)?
  18. 18.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 34°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the supplement of 169° (in degrees)?
  22. 22.What is the complement of 63° (in degrees)?
  23. 23.Are 57° and 123° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  24. 24.Are 46° and 134° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  25. 25.What is the complement of 75° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 132°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the complement of 79° (in degrees)?
  28. 28.What is the supplement of 67° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 24°. What is the angle next to it on the same line (in degrees)?
  30. 30.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 149°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the supplement of 141° (in degrees)?
  33. 33.What is the supplement of 113° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 73°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its alternate interior angle (in degrees)?
  36. 36.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 55°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 156°. What is the angle next to it on the same line (in degrees)?
  39. 39.What is the supplement of 72° (in degrees)?
  40. 40.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 20
  2. 23
  3. 46
  4. 84
  5. 33
  6. 98
  7. 75
  8. 60
  9. Neither
  10. 46
  11. 47
  12. 59
  13. 76
  14. Complementary
  15. 136
  16. 58
  17. 6
  18. 46
  19. 146
  20. 135
  21. 11
  22. 27
  23. Supplementary
  24. Supplementary
  25. 15
  26. 132
  27. 11
  28. 113
  29. 156
  30. 127
  31. 149
  32. 39
  33. 67
  34. 73
  35. 85
  36. 120
  37. 125
  38. 24
  39. 108
  40. 73

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