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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 899 · 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 straight lines cross each other. One of the angles formed is 131°. What is the angle next to it on the same line (in degrees)?
  2. 2.What is the complement of 54° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 31°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the supplement of 95° (in degrees)?
  5. 5.What is the complement of 70° (in degrees)?
  6. 6.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the supplement of 77° (in degrees)?
  10. 10.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  12. 12.Are 48° and 42° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  13. 13.Two straight lines cross each other. One of the angles formed is 123°. What is the angle next to it on the same line (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 120°. What is the angle next to it on the same line (in degrees)?
  15. 15.What is the complement of 16° (in degrees)?
  16. 16.Two angles are supplementary. One is 38° 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 81°. What is its alternate interior angle (in degrees)?
  18. 18.What is the supplement of 39° (in degrees)?
  19. 19.What is the complement of 41° (in degrees)?
  20. 20.What is the supplement of 174° (in degrees)?
  21. 21.What is the complement of 12° (in degrees)?
  22. 22.What is the complement of 47° (in degrees)?
  23. 23.What is the supplement of 21° (in degrees)?
  24. 24.What is the complement of 5° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Are 23° and 157° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.Are 12° and 78° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.Two parallel lines are cut by a transversal. One angle is 66°. What is its corresponding angle (in degrees)?
  29. 29.What is the complement of 80° (in degrees)?
  30. 30.What is the supplement of 130° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 106°. What is its alternate interior angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 104°. What is its corresponding angle (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.What is the supplement of 64° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 34°. What is its alternate interior angle (in degrees)?
  36. 36.Are 45° and 16° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.What is the complement of 60° (in degrees)?
  39. 39.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the complement of 46° (in degrees)?

Answer key

  1. 49
  2. 36
  3. 31
  4. 85
  5. 20
  6. 149
  7. 67
  8. 99
  9. 103
  10. 46
  11. 65
  12. Complementary
  13. 57
  14. 60
  15. 74
  16. 109
  17. 81
  18. 141
  19. 49
  20. 6
  21. 78
  22. 43
  23. 159
  24. 85
  25. 120
  26. Supplementary
  27. Complementary
  28. 66
  29. 10
  30. 50
  31. 106
  32. 104
  33. 94
  34. 116
  35. 34
  36. Neither
  37. 76
  38. 30
  39. 74
  40. 44

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