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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 508 · 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.Are 74° and 16° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  2. 2.What is the complement of 30° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 44°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  5. 5.Are 80° and 10° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  6. 6.Two straight lines cross each other. One of the angles formed is 32°. What is the angle next to it on the same line (in degrees)?
  7. 7.What is the complement of 68° (in degrees)?
  8. 8.What is the supplement of 23° (in degrees)?
  9. 9.What is the supplement of 156° (in degrees)?
  10. 10.Are 16° and 74° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  11. 11.What is the complement of 59° (in degrees)?
  12. 12.Two angles are supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the complement of 60° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 44°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the complement of 46° (in degrees)?
  17. 17.Are 48° and 42° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  18. 18.Are 68° and 70° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  19. 19.What is the complement of 53° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 96°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 76°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 123°. What is its alternate interior angle (in degrees)?
  23. 23.What is the complement of 34° (in degrees)?
  24. 24.What is the supplement of 101° (in degrees)?
  25. 25.Are 11° and 169° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  26. 26.Are 29° and 151° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 103° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 149°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 137°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 156°. What is the angle next to it on the same line (in degrees)?
  32. 32.What is the supplement of 163° (in degrees)?
  33. 33.Are 10° and 170° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  34. 34.Two angles are supplementary. One is 76° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two angles are supplementary. One is 136° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 112°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.What is the supplement of 154° (in degrees)?
  38. 38.What is the supplement of 160° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 55°. What is its alternate interior angle (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 43°. What is its corresponding angle (in degrees)?

Answer key

  1. Complementary
  2. 60
  3. 44
  4. 67
  5. Complementary
  6. 148
  7. 22
  8. 157
  9. 24
  10. Complementary
  11. 31
  12. 132
  13. 30
  14. 136
  15. 61
  16. 44
  17. Complementary
  18. Neither
  19. 37
  20. 84
  21. 76
  22. 123
  23. 56
  24. 79
  25. Supplementary
  26. Supplementary
  27. 96
  28. 77
  29. 149
  30. 137
  31. 24
  32. 17
  33. Supplementary
  34. 128
  35. 158
  36. 68
  37. 26
  38. 20
  39. 55
  40. 43

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