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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 54 · 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 parallel lines are cut by a transversal. One angle is 132°. What is its corresponding angle (in degrees)?
  2. 2.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the complement of 24° (in degrees)?
  5. 5.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the supplement of 38° (in degrees)?
  7. 7.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the complement of 75° (in degrees)?
  10. 10.What is the complement of 48° (in degrees)?
  11. 11.What is the complement of 26° (in degrees)?
  12. 12.What is the supplement of 99° (in degrees)?
  13. 13.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 115°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the complement of 33° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 48°. What is the angle vertically opposite to it (in degrees)?
  17. 17.What is the complement of 13° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 108°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 143°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 89°. What is its corresponding angle (in degrees)?
  21. 21.Are 60° and 120° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  22. 22.Are 22° and 158° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  23. 23.What is the complement of 71° (in degrees)?
  24. 24.What is the complement of 69° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its alternate interior angle (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its alternate interior angle (in degrees)?
  27. 27.Are 12° and 127° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  28. 28.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  29. 29.Are 70° and 20° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  30. 30.Are 39° and 37° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  31. 31.What is the supplement of 39° (in degrees)?
  32. 32.What is the supplement of 74° (in degrees)?
  33. 33.What is the supplement of 135° (in degrees)?
  34. 34.Are 68° and 112° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  35. 35.What is the supplement of 130° (in degrees)?
  36. 36.What is the supplement of 54° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 59°. What is its corresponding angle (in degrees)?
  38. 38.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
  40. 40.What is the supplement of 43° (in degrees)?

Answer key

  1. 132
  2. 108
  3. 52
  4. 66
  5. 136
  6. 142
  7. 110
  8. 93
  9. 15
  10. 42
  11. 64
  12. 81
  13. 49
  14. 115
  15. 57
  16. 48
  17. 77
  18. 72
  19. 143
  20. 89
  21. Supplementary
  22. Supplementary
  23. 19
  24. 21
  25. 41
  26. 128
  27. Neither
  28. 146
  29. Complementary
  30. Neither
  31. 141
  32. 106
  33. 45
  34. Supplementary
  35. 50
  36. 126
  37. 59
  38. 98
  39. 105
  40. 137

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