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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 76 · 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 82° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 56°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 76°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 110°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 103°. What is the angle vertically opposite to it (in degrees)?
  6. 6.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 127°. What is its corresponding angle (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 109°. What is its corresponding angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 122°. What is its corresponding angle (in degrees)?
  10. 10.What is the complement of 38° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 44°. What is the angle next to it on the same line (in degrees)?
  12. 12.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 157°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the complement of 19° (in degrees)?
  16. 16.What is the supplement of 8° (in degrees)?
  17. 17.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the complement of 52° (in degrees)?
  19. 19.Are 19° and 161° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  20. 20.What is the supplement of 80° (in degrees)?
  21. 21.What is the supplement of 149° (in degrees)?
  22. 22.What is the complement of 70° (in degrees)?
  23. 23.What is the supplement of 98° (in degrees)?
  24. 24.What is the complement of 29° (in degrees)?
  25. 25.Are 32° and 66° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  26. 26.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)?
  27. 27.Two straight lines cross each other. One of the angles formed is 29°. What is the angle next to it on the same line (in degrees)?
  28. 28.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 33° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 116°. What is its corresponding angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the complement of 75° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 98°. What is its corresponding angle (in degrees)?
  36. 36.What is the supplement of 157° (in degrees)?
  37. 37.What is the complement of 13° (in degrees)?
  38. 38.What is the supplement of 153° (in degrees)?
  39. 39.What is the supplement of 162° (in degrees)?
  40. 40.Two angles are supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 98
  2. 56
  3. 76
  4. 70
  5. 103
  6. 62
  7. 127
  8. 109
  9. 122
  10. 52
  11. 136
  12. 64
  13. 110
  14. 157
  15. 71
  16. 172
  17. 46
  18. 38
  19. Supplementary
  20. 100
  21. 31
  22. 20
  23. 82
  24. 61
  25. Neither
  26. 56
  27. 151
  28. 66
  29. 63
  30. 147
  31. 116
  32. 60
  33. 48
  34. 15
  35. 98
  36. 23
  37. 77
  38. 27
  39. 18
  40. 132

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