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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 489 · 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 38° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 36° (in degrees)?
  3. 3.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the complement of 58° (in degrees)?
  5. 5.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  6. 6.Are 54° and 36° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 50°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.What is the complement of 62° (in degrees)?
  11. 11.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  12. 12.Are 11° and 79° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  13. 13.Two straight lines cross each other. One of the angles formed is 43°. What is the angle next to it on the same line (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 90°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the supplement of 93° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
  17. 17.What is the supplement of 92° (in degrees)?
  18. 18.What is the supplement of 105° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.Are 18° and 162° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  21. 21.Are 24° and 156° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  22. 22.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the complement of 56° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 34°. What is its alternate interior angle (in degrees)?
  25. 25.What is the supplement of 77° (in degrees)?
  26. 26.What is the complement of 78° (in degrees)?
  27. 27.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 5° (in degrees)?
  29. 29.What is the supplement of 9° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 143°. What is its alternate interior angle (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the complement of 11° (in degrees)?
  33. 33.Are 46° and 44° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 141°. What is its alternate interior angle (in degrees)?
  35. 35.Are 38° and 142° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.What is the complement of 52° (in degrees)?
  37. 37.Are 31° and 149° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  38. 38.Are 69° and 21° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  39. 39.Are 23° and 67° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.What is the supplement of 57° (in degrees)?

Answer key

  1. 64
  2. 54
  3. 73
  4. 32
  5. 72
  6. Complementary
  7. 57
  8. 48
  9. 130
  10. 28
  11. 69
  12. Complementary
  13. 137
  14. 90
  15. 87
  16. 42
  17. 88
  18. 75
  19. 133
  20. Supplementary
  21. Supplementary
  22. 122
  23. 34
  24. 34
  25. 103
  26. 12
  27. 80
  28. 175
  29. 171
  30. 143
  31. 24
  32. 79
  33. Complementary
  34. 141
  35. Supplementary
  36. 38
  37. Supplementary
  38. Complementary
  39. Complementary
  40. 123

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