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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 793 · 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 8° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 54°. What is the angle vertically opposite to it (in degrees)?
  3. 3.What is the complement of 8° (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 37° and 143° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  6. 6.What is the supplement of 109° (in degrees)?
  7. 7.What is the supplement of 46° (in degrees)?
  8. 8.What is the supplement of 11° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 149°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Are 70° and 20° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  11. 11.Are 15° and 75° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  12. 12.Two parallel lines are cut by a transversal. One angle is 75°. What is its corresponding angle (in degrees)?
  13. 13.What is the supplement of 105° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its alternate interior angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 116°. What is the angle vertically opposite to it (in degrees)?
  16. 16.What is the complement of 67° (in degrees)?
  17. 17.Are 35° and 56° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  18. 18.Two straight lines cross each other. One of the angles formed is 21°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 88°. What is the angle next to it on the same line (in degrees)?
  21. 21.What is the supplement of 37° (in degrees)?
  22. 22.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the supplement of 168° (in degrees)?
  26. 26.What is the supplement of 79° (in degrees)?
  27. 27.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 80° (in degrees)?
  29. 29.What is the complement of 78° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 114°. What is the angle next to it on the same line (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 64°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the complement of 79° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 56°. What is the angle vertically opposite to it (in degrees)?
  35. 35.What is the supplement of 26° (in degrees)?
  36. 36.What is the supplement of 110° (in degrees)?
  37. 37.Are 29° and 151° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.Are 32° and 148° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  39. 39.Two parallel lines are cut by a transversal. One angle is 141°. What is its corresponding angle (in degrees)?
  40. 40.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 49
  2. 54
  3. 82
  4. 74
  5. Supplementary
  6. 71
  7. 134
  8. 169
  9. 149
  10. Complementary
  11. Complementary
  12. 75
  13. 75
  14. 43
  15. 116
  16. 23
  17. Neither
  18. 21
  19. 55
  20. 92
  21. 143
  22. 65
  23. 102
  24. 139
  25. 12
  26. 101
  27. 56
  28. 100
  29. 12
  30. 66
  31. 64
  32. 115
  33. 11
  34. 56
  35. 154
  36. 70
  37. Supplementary
  38. Supplementary
  39. 141
  40. 136

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