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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 547 · 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 33° (in degrees)?
  2. 2.What is the complement of 11° (in degrees)?
  3. 3.What is the supplement of 63° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 96°. What is its alternate interior angle (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 135°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its alternate interior angle (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 141°. What is the angle vertically opposite to it (in degrees)?
  8. 8.What is the complement of 67° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 51°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.Are 45° and 45° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  11. 11.Two straight lines cross each other. One of the angles formed is 30°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the complement of 82° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 90°. What is its alternate interior angle (in degrees)?
  17. 17.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 148°. What is its corresponding angle (in degrees)?
  19. 19.What is the complement of 73° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 81°. What is the angle next to it on the same line (in degrees)?
  21. 21.What is the complement of 12° (in degrees)?
  22. 22.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the supplement of 138° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 70°. What is its corresponding angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.What is the supplement of 65° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 42°. What is its corresponding angle (in degrees)?
  28. 28.Are 28° and 62° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  29. 29.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  33. 33.Are 33° and 147° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  34. 34.Two straight lines cross each other. One of the angles formed is 68°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  36. 36.Are 34° and 146° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  37. 37.What is the complement of 18° (in degrees)?
  38. 38.What is the complement of 9° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 125°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.What is the complement of 29° (in degrees)?

Answer key

  1. 57
  2. 79
  3. 117
  4. 96
  5. 45
  6. 78
  7. 141
  8. 23
  9. 129
  10. Complementary
  11. 30
  12. 56
  13. 115
  14. 108
  15. 8
  16. 90
  17. 79
  18. 148
  19. 17
  20. 99
  21. 78
  22. 97
  23. 42
  24. 70
  25. 66
  26. 115
  27. 42
  28. Complementary
  29. 140
  30. 74
  31. 119
  32. 77
  33. Supplementary
  34. 68
  35. 73
  36. Supplementary
  37. 72
  38. 81
  39. 55
  40. 61

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