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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 165 · 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.Are 72° and 108° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its alternate interior angle (in degrees)?
  3. 3.Are 19° and 161° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  4. 4.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 55°. What is its alternate interior angle (in degrees)?
  6. 6.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the complement of 53° (in degrees)?
  8. 8.Are 23° and 157° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  9. 9.What is the supplement of 152° (in degrees)?
  10. 10.Are 41° and 73° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  11. 11.What is the complement of 44° (in degrees)?
  12. 12.What is the supplement of 86° (in degrees)?
  13. 13.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 24° (in degrees)?
  15. 15.What is the supplement of 11° (in degrees)?
  16. 16.What is the supplement of 22° (in degrees)?
  17. 17.What is the complement of 62° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 82°. What is its corresponding angle (in degrees)?
  19. 19.Are 68° and 22° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  20. 20.What is the supplement of 124° (in degrees)?
  21. 21.What is the supplement of 50° (in degrees)?
  22. 22.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)?
  23. 23.Are 15° and 165° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  24. 24.Two straight lines cross each other. One of the angles formed is 146°. What is the angle next to it on the same line (in degrees)?
  25. 25.Are 28° and 62° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  26. 26.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 18° (in degrees)?
  29. 29.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  30. 30.Are 67° and 23° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its alternate interior angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 111°. What is the angle next to it on the same line (in degrees)?
  33. 33.Are 39° and 51° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  34. 34.Two straight lines cross each other. One of the angles formed is 88°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 31°. What is the angle vertically opposite to it (in degrees)?
  36. 36.What is the supplement of 70° (in degrees)?
  37. 37.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 77°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 92°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 22°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. Supplementary
  2. 130
  3. Supplementary
  4. 65
  5. 55
  6. 50
  7. 37
  8. Supplementary
  9. 28
  10. Neither
  11. 46
  12. 94
  13. 80
  14. 66
  15. 169
  16. 158
  17. 28
  18. 82
  19. Complementary
  20. 56
  21. 130
  22. 136
  23. Supplementary
  24. 34
  25. Complementary
  26. 52
  27. 63
  28. 162
  29. 76
  30. Complementary
  31. 111
  32. 69
  33. Complementary
  34. 88
  35. 31
  36. 110
  37. 48
  38. 103
  39. 88
  40. 158

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