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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 943 · 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 angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 49° (in degrees)?
  4. 4.What is the complement of 9° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 32°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 121°. What is the angle next to it on the same line (in degrees)?
  7. 7.Are 44° and 136° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.What is the complement of 73° (in degrees)?
  10. 10.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the complement of 84° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 29°. What is the angle next to it on the same line (in degrees)?
  13. 13.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 70° (in degrees)?
  15. 15.What is the supplement of 64° (in degrees)?
  16. 16.What is the complement of 50° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 80°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.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)?
  19. 19.What is the supplement of 92° (in degrees)?
  20. 20.What is the supplement of 146° (in degrees)?
  21. 21.Are 53° and 45° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  22. 22.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the complement of 5° (in degrees)?
  24. 24.What is the complement of 79° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Are 17° and 73° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its alternate interior angle (in degrees)?
  29. 29.Are 14° and 95° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  30. 30.Are 68° and 136° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  31. 31.Two straight lines cross each other. One of the angles formed is 132°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the complement of 77° (in degrees)?
  33. 33.What is the supplement of 131° (in degrees)?
  34. 34.What is the supplement of 41° (in degrees)?
  35. 35.What is the complement of 22° (in degrees)?
  36. 36.What is the supplement of 94° (in degrees)?
  37. 37.Are 24° and 66° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  38. 38.Two angles are complementary. One is 66° 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 156°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 131°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 77
  2. 125
  3. 41
  4. 81
  5. 148
  6. 59
  7. Supplementary
  8. 65
  9. 17
  10. 63
  11. 6
  12. 151
  13. 123
  14. 20
  15. 116
  16. 40
  17. 100
  18. 57
  19. 88
  20. 34
  21. Neither
  22. 49
  23. 85
  24. 11
  25. 120
  26. Complementary
  27. 143
  28. 130
  29. Neither
  30. Neither
  31. 132
  32. 13
  33. 49
  34. 139
  35. 68
  36. 86
  37. Complementary
  38. 78
  39. 24
  40. 131

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