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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 251 · 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 complement of 16° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 80°. What is the angle vertically opposite to it (in degrees)?
  3. 3.What is the complement of 38° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 125°. What is the angle next to it on the same line (in degrees)?
  5. 5.What is the supplement of 21° (in degrees)?
  6. 6.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the supplement of 72° (in degrees)?
  9. 9.What is the supplement of 117° (in degrees)?
  10. 10.What is the supplement of 43° (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its alternate interior angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 143°. What is the angle next to it on the same line (in degrees)?
  15. 15.Are 59° and 121° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 147°. What is its alternate interior angle (in degrees)?
  17. 17.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the supplement of 60° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 100°. What is its corresponding angle (in degrees)?
  20. 20.What is the complement of 24° (in degrees)?
  21. 21.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 136°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the complement of 69° (in degrees)?
  25. 25.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the supplement of 110° (in degrees)?
  27. 27.What is the complement of 33° (in degrees)?
  28. 28.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the complement of 55° (in degrees)?
  30. 30.What is the complement of 21° (in degrees)?
  31. 31.What is the supplement of 42° (in degrees)?
  32. 32.What is the supplement of 155° (in degrees)?
  33. 33.Are 11° and 94° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  34. 34.Are 63° and 117° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.What is the supplement of 175° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 120°. What is its corresponding angle (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 51°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 56°. What is its corresponding angle (in degrees)?
  39. 39.Two angles are supplementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 47°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 74
  2. 80
  3. 52
  4. 55
  5. 159
  6. 59
  7. 76
  8. 108
  9. 63
  10. 137
  11. 48
  12. 150
  13. 26
  14. 37
  15. Supplementary
  16. 147
  17. 113
  18. 120
  19. 100
  20. 66
  21. 68
  22. 136
  23. 159
  24. 21
  25. 73
  26. 70
  27. 57
  28. 74
  29. 35
  30. 69
  31. 138
  32. 25
  33. Neither
  34. Supplementary
  35. 5
  36. 120
  37. 129
  38. 56
  39. 124
  40. 47

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