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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 379 · 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 96° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 68°. What is its alternate interior angle (in degrees)?
  3. 3.What is the complement of 79° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 22°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 34°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 111°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 65°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the complement of 18° (in degrees)?
  10. 10.Are 12° and 168° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  11. 11.Two straight lines cross each other. One of the angles formed is 147°. What is the angle next to it on the same line (in degrees)?
  12. 12.What is the supplement of 11° (in degrees)?
  13. 13.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  14. 14.Are 13° and 167° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its alternate interior angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its alternate interior angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 109°. What is the angle next to it on the same line (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.Are 21° and 159° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  20. 20.Are 70° and 96° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  21. 21.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  23. 23.Are 38° and 95° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  24. 24.What is the supplement of 38° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 64°. What is the angle next to it on the same line (in degrees)?
  26. 26.What is the complement of 85° (in degrees)?
  27. 27.What is the complement of 11° (in degrees)?
  28. 28.What is the supplement of 92° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 40°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Are 52° and 26° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  31. 31.Two parallel lines are cut by a transversal. One angle is 54°. What is its corresponding angle (in degrees)?
  32. 32.Are 23° and 85° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  33. 33.Two straight lines cross each other. One of the angles formed is 25°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Are 23° and 67° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.Two angles are supplementary. One is 118° 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 113°. What is the angle next to it on the same line (in degrees)?
  37. 37.What is the complement of 62° (in degrees)?
  38. 38.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 48°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. 84
  2. 68
  3. 11
  4. 22
  5. 146
  6. 111
  7. 65
  8. 70
  9. 72
  10. Supplementary
  11. 33
  12. 169
  13. 52
  14. Supplementary
  15. 86
  16. 49
  17. 71
  18. 76
  19. Supplementary
  20. Neither
  21. 159
  22. 106
  23. Neither
  24. 142
  25. 116
  26. 5
  27. 79
  28. 88
  29. 40
  30. Neither
  31. 54
  32. Neither
  33. 25
  34. Complementary
  35. 149
  36. 67
  37. 28
  38. 99
  39. 132
  40. 119

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