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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 903 · 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 46° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 23° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 115°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 141°. What is the angle next to it on the same line (in degrees)?
  5. 5.Are 49° and 125° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  6. 6.Two straight lines cross each other. One of the angles formed is 108°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 33°. What is its corresponding angle (in degrees)?
  8. 8.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  9. 9.Are 68° and 112° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  10. 10.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the supplement of 118° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 141°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 28°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the complement of 51° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 139°. What is its alternate interior angle (in degrees)?
  18. 18.What is the complement of 20° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 99°. What is its corresponding angle (in degrees)?
  20. 20.Are 22° and 23° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  21. 21.What is the complement of 39° (in degrees)?
  22. 22.What is the complement of 56° (in degrees)?
  23. 23.What is the supplement of 54° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 126°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the supplement of 115° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 47°. What is the angle next to it on the same line (in degrees)?
  27. 27.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  28. 28.Are 39° and 128° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its alternate interior angle (in degrees)?
  31. 31.Are 77° and 58° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  32. 32.What is the supplement of 34° (in degrees)?
  33. 33.Are 16° and 74° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  34. 34.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the complement of 65° (in degrees)?
  36. 36.What is the complement of 57° (in degrees)?
  37. 37.Are 48° and 132° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  38. 38.Are 35° and 124° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  39. 39.What is the complement of 38° (in degrees)?
  40. 40.What is the complement of 26° (in degrees)?

Answer key

  1. 68
  2. 67
  3. 65
  4. 39
  5. Neither
  6. 72
  7. 33
  8. 105
  9. Supplementary
  10. 60
  11. 62
  12. 141
  13. 78
  14. 28
  15. 103
  16. 39
  17. 139
  18. 70
  19. 99
  20. Neither
  21. 51
  22. 34
  23. 126
  24. 54
  25. 65
  26. 133
  27. 51
  28. Neither
  29. 50
  30. 49
  31. Neither
  32. 146
  33. Complementary
  34. 48
  35. 25
  36. 33
  37. Supplementary
  38. Neither
  39. 52
  40. 64

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