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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 742 · 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 25°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 75° (in degrees)?
  4. 4.What is the complement of 51° (in degrees)?
  5. 5.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  6. 6.Are 29° and 158° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the complement of 57° (in degrees)?
  10. 10.What is the supplement of 39° (in degrees)?
  11. 11.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the supplement of 65° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 89°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the complement of 41° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 138°. What is its corresponding angle (in degrees)?
  17. 17.What is the complement of 55° (in degrees)?
  18. 18.Are 60° and 45° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its alternate interior angle (in degrees)?
  20. 20.What is the complement of 21° (in degrees)?
  21. 21.What is the supplement of 115° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 52°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 96°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the supplement of 126° (in degrees)?
  26. 26.What is the complement of 43° (in degrees)?
  27. 27.What is the supplement of 59° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 146°. What is its corresponding angle (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its alternate interior angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 114°. What is its corresponding angle (in degrees)?
  31. 31.What is the supplement of 54° (in degrees)?
  32. 32.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  33. 33.Are 16° and 74° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  34. 34.Are 72° and 18° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  35. 35.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 41°. What is the angle next to it on the same line (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its alternate interior angle (in degrees)?
  38. 38.What is the complement of 45° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 25
  2. 76
  3. 105
  4. 39
  5. 74
  6. Neither
  7. 23
  8. 123
  9. 33
  10. 141
  11. 95
  12. 115
  13. 89
  14. 66
  15. 49
  16. 138
  17. 35
  18. Neither
  19. 54
  20. 69
  21. 65
  22. 52
  23. 84
  24. 78
  25. 54
  26. 47
  27. 121
  28. 146
  29. 49
  30. 114
  31. 126
  32. 71
  33. Complementary
  34. Complementary
  35. 118
  36. 139
  37. 88
  38. 45
  39. 66
  40. 55

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