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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 199 · 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 55° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 30°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Are 50° and 40° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  4. 4.Are 40° and 140° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 75°. What is its alternate interior angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its alternate interior angle (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 75°. What is the angle next to it on the same line (in degrees)?
  8. 8.What is the complement of 23° (in degrees)?
  9. 9.Are 77° and 103° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  10. 10.Two straight lines cross each other. One of the angles formed is 134°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the complement of 47° (in degrees)?
  12. 12.What is the complement of 20° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 73°. What is its alternate interior angle (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 46°. What is its corresponding angle (in degrees)?
  15. 15.Are 54° and 26° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its alternate interior angle (in degrees)?
  17. 17.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the complement of 62° (in degrees)?
  19. 19.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 111° (in degrees)?
  21. 21.What is the supplement of 54° (in degrees)?
  22. 22.What is the complement of 63° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  25. 25.Are 31° and 149° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  26. 26.Are 20° and 62° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  27. 27.Are 38° and 142° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  28. 28.Are 19° and 164° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.Two straight lines cross each other. One of the angles formed is 153°. What is the angle vertically opposite to it (in degrees)?
  30. 30.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)?
  31. 31.What is the supplement of 115° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 100°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.What is the complement of 50° (in degrees)?
  34. 34.What is the complement of 16° (in degrees)?
  35. 35.Are 57° and 33° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.What is the supplement of 155° (in degrees)?
  37. 37.What is the supplement of 108° (in degrees)?
  38. 38.What is the complement of 65° (in degrees)?
  39. 39.What is the supplement of 33° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 125
  2. 30
  3. Complementary
  4. Supplementary
  5. 75
  6. 35
  7. 105
  8. 67
  9. Supplementary
  10. 134
  11. 43
  12. 70
  13. 73
  14. 46
  15. Neither
  16. 59
  17. 98
  18. 28
  19. 93
  20. 69
  21. 126
  22. 27
  23. 70
  24. 48
  25. Supplementary
  26. Neither
  27. Supplementary
  28. Neither
  29. 153
  30. 88
  31. 65
  32. 80
  33. 40
  34. 74
  35. Complementary
  36. 25
  37. 72
  38. 25
  39. 147
  40. 86

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