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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 759 · 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 supplement of 155° (in degrees)?
  2. 2.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 96° (in degrees)?
  4. 4.What is the supplement of 143° (in degrees)?
  5. 5.What is the supplement of 89° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 92°. What is the angle next to it on the same line (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its alternate interior angle (in degrees)?
  9. 9.What is the supplement of 116° (in degrees)?
  10. 10.What is the supplement of 102° (in degrees)?
  11. 11.What is the complement of 65° (in degrees)?
  12. 12.Are 24° and 66° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  13. 13.What is the supplement of 110° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 90°. What is its corresponding angle (in degrees)?
  15. 15.What is the complement of 59° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 58°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 112°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its alternate interior angle (in degrees)?
  19. 19.What is the complement of 33° (in degrees)?
  20. 20.Are 42° and 138° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  21. 21.What is the complement of 75° (in degrees)?
  22. 22.Are 76° and 104° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  23. 23.What is the supplement of 152° (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 angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 153°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  29. 29.Are 43° and 47° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  30. 30.What is the complement of 54° (in degrees)?
  31. 31.What is the supplement of 175° (in degrees)?
  32. 32.What is the complement of 63° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 124°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.Are 38° and 89° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.Are 29° and 61° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  36. 36.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 129°. What is its corresponding angle (in degrees)?
  38. 38.What is the complement of 23° (in degrees)?
  39. 39.What is the complement of 81° (in degrees)?
  40. 40.What is the supplement of 70° (in degrees)?

Answer key

  1. 25
  2. 149
  3. 84
  4. 37
  5. 91
  6. 52
  7. 88
  8. 107
  9. 64
  10. 78
  11. 25
  12. Complementary
  13. 70
  14. 90
  15. 31
  16. 58
  17. 112
  18. 145
  19. 57
  20. Supplementary
  21. 15
  22. Supplementary
  23. 28
  24. 119
  25. 135
  26. 153
  27. 66
  28. 76
  29. Complementary
  30. 36
  31. 5
  32. 27
  33. 56
  34. Neither
  35. Complementary
  36. 73
  37. 129
  38. 67
  39. 9
  40. 110

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