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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 734 · 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 84° (in degrees)?
  2. 2.What is the complement of 50° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 101°. What is its alternate interior angle (in degrees)?
  4. 4.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 164° (in degrees)?
  6. 6.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)?
  7. 7.What is the supplement of 34° (in degrees)?
  8. 8.Are 74° and 16° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  9. 9.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two angles are supplementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  11. 11.Are 61° and 29° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  12. 12.Two parallel lines are cut by a transversal. One angle is 87°. What is its corresponding angle (in degrees)?
  13. 13.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 35° (in degrees)?
  15. 15.Are 15° and 25° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  16. 16.What is the complement of 7° (in degrees)?
  17. 17.What is the complement of 29° (in degrees)?
  18. 18.Two angles are supplementary. One is 132° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two angles are supplementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the complement of 26° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 114°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Are 34° and 146° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  23. 23.What is the complement of 27° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 46°. What is the angle vertically opposite to it (in degrees)?
  26. 26.What is the complement of 72° (in degrees)?
  27. 27.What is the supplement of 30° (in degrees)?
  28. 28.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the supplement of 102° (in degrees)?
  34. 34.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the complement of 32° (in degrees)?
  36. 36.What is the supplement of 90° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 118°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the supplement of 100° (in degrees)?
  39. 39.What is the complement of 58° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 70°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 96
  2. 40
  3. 101
  4. 68
  5. 16
  6. 70
  7. 146
  8. Complementary
  9. 136
  10. 116
  11. Complementary
  12. 87
  13. 55
  14. 55
  15. Neither
  16. 83
  17. 61
  18. 156
  19. 114
  20. 64
  21. 114
  22. Supplementary
  23. 63
  24. 75
  25. 46
  26. 18
  27. 150
  28. 77
  29. 118
  30. 106
  31. 138
  32. 144
  33. 78
  34. 105
  35. 58
  36. 90
  37. 118
  38. 80
  39. 32
  40. 110

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