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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 329 · 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 18° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 48° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 127°. What is its corresponding angle (in degrees)?
  4. 4.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 39°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 39°. What is its alternate interior angle (in degrees)?
  7. 7.Are 65° and 25° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  8. 8.Are 57° and 123° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  9. 9.Two parallel lines are cut by a transversal. One angle is 144°. What is its corresponding angle (in degrees)?
  10. 10.What is the complement of 42° (in degrees)?
  11. 11.What is the supplement of 32° (in degrees)?
  12. 12.What is the supplement of 36° (in degrees)?
  13. 13.Are 23° and 67° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  14. 14.Two straight lines cross each other. One of the angles formed is 154°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 100° (in degrees)?
  18. 18.Are 58° and 55° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its alternate interior angle (in degrees)?
  20. 20.What is the complement of 41° (in degrees)?
  21. 21.What is the complement of 38° (in degrees)?
  22. 22.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  23. 23.Are 33° and 147° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  24. 24.What is the complement of 14° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 123°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.What is the supplement of 112° (in degrees)?
  27. 27.Are 31° and 59° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  28. 28.Are 62° and 118° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its alternate interior angle (in degrees)?
  30. 30.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the supplement of 173° (in degrees)?
  32. 32.What is the complement of 15° (in degrees)?
  33. 33.What is the complement of 37° (in degrees)?
  34. 34.What is the complement of 9° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 38°. What is the angle next to it on the same line (in degrees)?
  36. 36.What is the supplement of 163° (in degrees)?
  37. 37.What is the supplement of 68° (in degrees)?
  38. 38.Are 80° and 153° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  39. 39.Two parallel lines are cut by a transversal. One angle is 36°. What is its corresponding angle (in degrees)?
  40. 40.Are 60° and 120° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary

Answer key

  1. 54
  2. 42
  3. 127
  4. 53
  5. 141
  6. 39
  7. Complementary
  8. Supplementary
  9. 144
  10. 48
  11. 148
  12. 144
  13. Complementary
  14. 26
  15. 55
  16. 51
  17. 80
  18. Neither
  19. 70
  20. 49
  21. 52
  22. 122
  23. Supplementary
  24. 76
  25. 57
  26. 68
  27. Complementary
  28. Supplementary
  29. 60
  30. 91
  31. 7
  32. 75
  33. 53
  34. 81
  35. 142
  36. 17
  37. 112
  38. Neither
  39. 36
  40. Supplementary

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