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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 35 · 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 135° (in degrees)?
  2. 2.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)?
  3. 3.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 42°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.Are 20° and 160° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  6. 6.Are 40° and 53° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  7. 7.Two angles are supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the supplement of 160° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.Are 12° and 78° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  11. 11.What is the complement of 37° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its alternate interior angle (in degrees)?
  13. 13.What is the complement of 50° (in degrees)?
  14. 14.What is the complement of 44° (in degrees)?
  15. 15.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  17. 17.Are 32° and 148° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  18. 18.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 149°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.What is the complement of 56° (in degrees)?
  21. 21.What is the complement of 7° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 31°. What is the angle next to it on the same line (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 45°. What is the angle next to it on the same line (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 33°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 73°. What is the angle next to it on the same line (in degrees)?
  26. 26.What is the complement of 39° (in degrees)?
  27. 27.Are 70° and 20° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  28. 28.Two straight lines cross each other. One of the angles formed is 143°. What is the angle next to it on the same line (in degrees)?
  29. 29.What is the complement of 16° (in degrees)?
  30. 30.Are 54° and 36° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.What is the complement of 83° (in degrees)?
  32. 32.Are 13° and 167° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  33. 33.What is the supplement of 98° (in degrees)?
  34. 34.What is the supplement of 173° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 106°. What is its corresponding angle (in degrees)?
  36. 36.Are 45° and 135° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.Two parallel lines are cut by a transversal. One angle is 150°. What is its corresponding angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 21°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 122°. What is its alternate interior angle (in degrees)?
  40. 40.What is the supplement of 141° (in degrees)?

Answer key

  1. 45
  2. 132
  3. 68
  4. 138
  5. Supplementary
  6. Neither
  7. 132
  8. 20
  9. 94
  10. Complementary
  11. 53
  12. 31
  13. 40
  14. 46
  15. 80
  16. 46
  17. Supplementary
  18. 67
  19. 31
  20. 34
  21. 83
  22. 149
  23. 135
  24. 147
  25. 107
  26. 51
  27. Complementary
  28. 37
  29. 74
  30. Complementary
  31. 7
  32. Supplementary
  33. 82
  34. 7
  35. 106
  36. Supplementary
  37. 150
  38. 21
  39. 122
  40. 39

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