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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 396 · 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 complement of 80° (in degrees)?
  2. 2.What is the supplement of 90° (in degrees)?
  3. 3.What is the complement of 78° (in degrees)?
  4. 4.What is the complement of 85° (in degrees)?
  5. 5.What is the complement of 15° (in degrees)?
  6. 6.What is the complement of 33° (in degrees)?
  7. 7.Are 14° and 43° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  8. 8.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the complement of 26° (in degrees)?
  10. 10.What is the supplement of 57° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 60°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the supplement of 32° (in degrees)?
  14. 14.What is the supplement of 56° (in degrees)?
  15. 15.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 135°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 32°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 113°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  23. 23.Are 65° and 115° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  24. 24.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the complement of 41° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its alternate interior angle (in degrees)?
  27. 27.Are 12° and 78° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  28. 28.Are 18° and 162° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  29. 29.What is the complement of 46° (in degrees)?
  30. 30.What is the supplement of 43° (in degrees)?
  31. 31.Are 61° and 65° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  32. 32.Are 22° and 158° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  33. 33.What is the complement of 20° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One angle is 125°. What is its corresponding angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 152°. What is the angle next to it on the same line (in degrees)?
  36. 36.Are 36° and 51° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  37. 37.What is the complement of 32° (in degrees)?
  38. 38.Are 39° and 51° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  39. 39.What is the supplement of 103° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 64°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 10
  2. 90
  3. 12
  4. 5
  5. 75
  6. 57
  7. Neither
  8. 101
  9. 64
  10. 123
  11. 60
  12. 107
  13. 148
  14. 124
  15. 65
  16. 135
  17. 78
  18. 66
  19. 148
  20. 67
  21. 46
  22. 61
  23. Supplementary
  24. 149
  25. 49
  26. 31
  27. Complementary
  28. Supplementary
  29. 44
  30. 137
  31. Neither
  32. Supplementary
  33. 70
  34. 125
  35. 28
  36. Neither
  37. 58
  38. Complementary
  39. 77
  40. 116

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