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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 405 · 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 complement of 48° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 47°. What is the angle vertically opposite to it (in degrees)?
  3. 3.What is the supplement of 24° (in degrees)?
  4. 4.Two angles are complementary. One is 16° 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 88°. What is its alternate interior angle (in degrees)?
  6. 6.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the supplement of 45° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 155°. What is the angle next to it on the same line (in degrees)?
  9. 9.Are 71° and 109° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  10. 10.What is the supplement of 173° (in degrees)?
  11. 11.What is the supplement of 97° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 157°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  14. 14.Are 56° and 124° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  15. 15.Two parallel lines are cut by a transversal. One angle is 118°. What is its corresponding angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 103°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 112°. What is the angle next to it on the same line (in degrees)?
  18. 18.Are 36° and 50° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  19. 19.What is the supplement of 73° (in degrees)?
  20. 20.What is the supplement of 118° (in degrees)?
  21. 21.What is the supplement of 53° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One angle is 96°. What is its corresponding angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 148°. What is its alternate interior angle (in degrees)?
  24. 24.What is the complement of 16° (in degrees)?
  25. 25.What is the complement of 44° (in degrees)?
  26. 26.Are 41° and 49° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  27. 27.What is the complement of 82° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 73°. What is the angle vertically opposite to it (in degrees)?
  29. 29.What is the complement of 41° (in degrees)?
  30. 30.What is the supplement of 52° (in degrees)?
  31. 31.What is the complement of 74° (in degrees)?
  32. 32.What is the complement of 25° (in degrees)?
  33. 33.Are 42° and 81° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  34. 34.Two straight lines cross each other. One of the angles formed is 23°. What is the angle next to it on the same line (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 25°. What is the angle next to it on the same line (in degrees)?
  36. 36.What is the supplement of 46° (in degrees)?
  37. 37.Two angles are supplementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the supplement of 159° (in degrees)?
  39. 39.What is the supplement of 88° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 80°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 42
  2. 47
  3. 156
  4. 53
  5. 88
  6. 60
  7. 135
  8. 25
  9. Supplementary
  10. 7
  11. 83
  12. 157
  13. 159
  14. Supplementary
  15. 118
  16. 77
  17. 68
  18. Neither
  19. 107
  20. 62
  21. 127
  22. 96
  23. 148
  24. 74
  25. 46
  26. Complementary
  27. 8
  28. 73
  29. 49
  30. 128
  31. 16
  32. 65
  33. Neither
  34. 157
  35. 155
  36. 134
  37. 121
  38. 21
  39. 92
  40. 80

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