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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 70 · 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 supplement of 106° (in degrees)?
  2. 2.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 20° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its alternate interior angle (in degrees)?
  5. 5.What is the supplement of 12° (in degrees)?
  6. 6.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  7. 7.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)?
  8. 8.What is the supplement of 165° (in degrees)?
  9. 9.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the supplement of 38° (in degrees)?
  11. 11.Are 37° and 143° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  12. 12.Two straight lines cross each other. One of the angles formed is 157°. What is the angle next to it on the same line (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its alternate interior angle (in degrees)?
  14. 14.What is the complement of 28° (in degrees)?
  15. 15.Are 51° and 39° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  16. 16.Are 53° and 127° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.What is the supplement of 124° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 90°. What is its alternate interior angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 42°. What is its corresponding angle (in degrees)?
  20. 20.What is the complement of 36° (in degrees)?
  21. 21.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the complement of 17° (in degrees)?
  23. 23.Are 34° and 56° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 68°. What is its alternate interior angle (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 148°. What is the angle next to it on the same line (in degrees)?
  26. 26.What is the complement of 25° (in degrees)?
  27. 27.What is the complement of 81° (in degrees)?
  28. 28.What is the supplement of 5° (in degrees)?
  29. 29.Are 22° and 68° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  30. 30.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Are 65° and 25° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  32. 32.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 114°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  36. 36.Are 60° and 12° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 101°. What is its alternate interior angle (in degrees)?
  38. 38.What is the supplement of 175° (in degrees)?
  39. 39.What is the supplement of 144° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 104°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 74
  2. 79
  3. 70
  4. 110
  5. 168
  6. 66
  7. 28
  8. 15
  9. 64
  10. 142
  11. Supplementary
  12. 23
  13. 38
  14. 62
  15. Complementary
  16. Supplementary
  17. 56
  18. 90
  19. 42
  20. 54
  21. 152
  22. 73
  23. Complementary
  24. 68
  25. 32
  26. 65
  27. 9
  28. 175
  29. Complementary
  30. 55
  31. Complementary
  32. 47
  33. 114
  34. 94
  35. 133
  36. Neither
  37. 101
  38. 5
  39. 36
  40. 76

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