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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 428 · 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 straight lines cross each other. One of the angles formed is 109°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Are 34° and 56° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  3. 3.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  4. 4.Are 30° and 150° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 33°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.What is the complement of 61° (in degrees)?
  7. 7.What is the supplement of 99° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 60°. What is the angle next to it on the same line (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 24°. What is the angle next to it on the same line (in degrees)?
  10. 10.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 65°. What is its corresponding angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 68°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Are 71° and 19° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  15. 15.Two straight lines cross each other. One of the angles formed is 21°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 154° (in degrees)?
  18. 18.What is the complement of 81° (in degrees)?
  19. 19.What is the supplement of 151° (in degrees)?
  20. 20.What is the supplement of 137° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 153°. What is the angle next to it on the same line (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 53°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 112°. What is the angle vertically opposite to it (in degrees)?
  24. 24.What is the supplement of 171° (in degrees)?
  25. 25.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the complement of 13° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 89°. What is its corresponding angle (in degrees)?
  28. 28.Are 42° and 138° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  29. 29.What is the complement of 83° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 124°. What is the angle next to it on the same line (in degrees)?
  31. 31.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 80°. What is its alternate interior angle (in degrees)?
  33. 33.What is the supplement of 146° (in degrees)?
  34. 34.Are 75° and 105° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  35. 35.What is the complement of 9° (in degrees)?
  36. 36.Are 29° and 151° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.What is the supplement of 75° (in degrees)?
  38. 38.What is the complement of 40° (in degrees)?
  39. 39.What is the supplement of 124° (in degrees)?
  40. 40.What is the complement of 60° (in degrees)?

Answer key

  1. 109
  2. Complementary
  3. 67
  4. Supplementary
  5. 147
  6. 29
  7. 81
  8. 120
  9. 156
  10. 51
  11. 149
  12. 65
  13. 68
  14. Complementary
  15. 21
  16. 72
  17. 26
  18. 9
  19. 29
  20. 43
  21. 27
  22. 53
  23. 112
  24. 9
  25. 65
  26. 77
  27. 89
  28. Supplementary
  29. 7
  30. 56
  31. 80
  32. 80
  33. 34
  34. Supplementary
  35. 81
  36. Supplementary
  37. 105
  38. 50
  39. 56
  40. 30

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