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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 414 · 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 parallel lines are cut by a transversal. One interior angle is 144°. What is its alternate interior angle (in degrees)?
  2. 2.What is the complement of 17° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its alternate interior angle (in degrees)?
  4. 4.What is the complement of 63° (in degrees)?
  5. 5.What is the supplement of 83° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 126°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.Two angles are supplementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 66° (in degrees)?
  9. 9.What is the supplement of 66° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 70°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the supplement of 73° (in degrees)?
  12. 12.What is the supplement of 142° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 132°. What is its corresponding angle (in degrees)?
  14. 14.What is the supplement of 155° (in degrees)?
  15. 15.What is the supplement of 114° (in degrees)?
  16. 16.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 160°. What is the angle next to it on the same line (in degrees)?
  19. 19.What is the supplement of 173° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.Are 52° and 145° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  22. 22.Are 79° and 42° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  23. 23.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)?
  24. 24.What is the supplement of 61° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 76°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Are 41° and 76° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  27. 27.Are 76° and 104° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.What is the complement of 37° (in degrees)?
  29. 29.Are 33° and 57° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  30. 30.Are 43° and 137° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.Two straight lines cross each other. One of the angles formed is 137°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the supplement of 107° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its alternate interior angle (in degrees)?
  34. 34.Are 25° and 9° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  35. 35.What is the complement of 57° (in degrees)?
  36. 36.What is the complement of 51° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 139°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 90°. What is the angle next to it on the same line (in degrees)?
  39. 39.What is the supplement of 59° (in degrees)?
  40. 40.Are 73° and 17° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither

Answer key

  1. 144
  2. 73
  3. 110
  4. 27
  5. 97
  6. 54
  7. 124
  8. 24
  9. 114
  10. 70
  11. 107
  12. 38
  13. 132
  14. 25
  15. 66
  16. 47
  17. 72
  18. 20
  19. 7
  20. 121
  21. Neither
  22. Neither
  23. 151
  24. 119
  25. 76
  26. Neither
  27. Supplementary
  28. 53
  29. Complementary
  30. Supplementary
  31. 137
  32. 73
  33. 61
  34. Neither
  35. 33
  36. 39
  37. 41
  38. 90
  39. 121
  40. Complementary

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