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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 948 · 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 122°. What is the angle vertically opposite to it (in degrees)?
  2. 2.What is the complement of 51° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 123°. What is its alternate interior angle (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 74°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Are 72° and 18° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  6. 6.What is the supplement of 156° (in degrees)?
  7. 7.What is the complement of 24° (in degrees)?
  8. 8.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 81°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 93°. What is its other interior angle on the same side of the transversal (in degrees)?
  11. 11.Are 67° and 23° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  12. 12.Are 20° and 71° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 124°. What is its alternate interior angle (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its other interior angle on the same side of the transversal (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.What is the complement of 9° (in degrees)?
  17. 17.What is the supplement of 151° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 43°. What is the angle next to it on the same line (in degrees)?
  19. 19.What is the complement of 49° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 149°. What is its corresponding angle (in degrees)?
  21. 21.Are 25° and 49° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  22. 22.Two straight lines cross each other. One of the angles formed is 55°. What is the angle next to it on the same line (in degrees)?
  23. 23.What is the complement of 77° (in degrees)?
  24. 24.Are 70° and 53° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  25. 25.What is the complement of 52° (in degrees)?
  26. 26.What is the complement of 14° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its alternate interior angle (in degrees)?
  28. 28.Are 77° and 19° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  29. 29.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  30. 30.Are 18° and 72° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  31. 31.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the complement of 84° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 116°. What is its corresponding angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 135°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  36. 36.Are 69° and 21° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  37. 37.Two straight lines cross each other. One of the angles formed is 38°. What is the angle next to it on the same line (in degrees)?
  38. 38.Are 12° and 168° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.Are 38° and 29° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 122
  2. 39
  3. 123
  4. 74
  5. Complementary
  6. 24
  7. 66
  8. 119
  9. 81
  10. 87
  11. Complementary
  12. Neither
  13. 124
  14. 131
  15. 137
  16. 81
  17. 29
  18. 137
  19. 41
  20. 149
  21. Neither
  22. 125
  23. 13
  24. Neither
  25. 38
  26. 76
  27. 30
  28. Neither
  29. 61
  30. Complementary
  31. 157
  32. 6
  33. 116
  34. 135
  35. 142
  36. Complementary
  37. 142
  38. Supplementary
  39. Neither
  40. 62

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