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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 360 · 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 supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 27° (in degrees)?
  4. 4.What is the supplement of 155° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 158°. What is the angle vertically opposite to it (in degrees)?
  6. 6.What is the supplement of 123° (in degrees)?
  7. 7.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 34° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 106°. What is the angle vertically opposite to it (in degrees)?
  10. 10.What is the complement of 17° (in degrees)?
  11. 11.What is the complement of 13° (in degrees)?
  12. 12.What is the supplement of 48° (in degrees)?
  13. 13.What is the complement of 28° (in degrees)?
  14. 14.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 30°. What is its corresponding angle (in degrees)?
  16. 16.What is the supplement of 13° (in degrees)?
  17. 17.Are 68° and 22° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  18. 18.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?
  19. 19.Are 17° and 163° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  20. 20.Are 65° and 25° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  21. 21.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 64°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the complement of 36° (in degrees)?
  26. 26.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its alternate interior angle (in degrees)?
  28. 28.What is the supplement of 86° (in degrees)?
  29. 29.What is the supplement of 23° (in degrees)?
  30. 30.What is the supplement of 128° (in degrees)?
  31. 31.Are 29° and 19° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  32. 32.What is the complement of 61° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 116°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One angle is 117°. What is its corresponding angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 73°. What is its corresponding angle (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 51°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Are 61° and 119° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  38. 38.Two straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its alternate interior angle (in degrees)?
  40. 40.What is the supplement of 140° (in degrees)?

Answer key

  1. 144
  2. 54
  3. 63
  4. 25
  5. 158
  6. 57
  7. 59
  8. 56
  9. 106
  10. 73
  11. 77
  12. 132
  13. 62
  14. 106
  15. 30
  16. 167
  17. Complementary
  18. 139
  19. Supplementary
  20. Complementary
  21. 49
  22. 53
  23. 116
  24. 121
  25. 54
  26. 76
  27. 31
  28. 94
  29. 157
  30. 52
  31. Neither
  32. 29
  33. 64
  34. 117
  35. 73
  36. 51
  37. Supplementary
  38. 120
  39. 120
  40. 40

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