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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 869 · 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 parallel lines are cut by a transversal. One interior angle is 36°. What is its alternate interior angle (in degrees)?
  2. 2.What is the supplement of 100° (in degrees)?
  3. 3.What is the complement of 24° (in degrees)?
  4. 4.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)?
  5. 5.What is the complement of 52° (in degrees)?
  6. 6.Are 18° and 162° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.Are 41° and 139° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  8. 8.What is the supplement of 132° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 121°. What is its corresponding angle (in degrees)?
  10. 10.What is the complement of 15° (in degrees)?
  11. 11.What is the supplement of 167° (in degrees)?
  12. 12.What is the supplement of 145° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 157°. What is the angle vertically opposite to it (in degrees)?
  14. 14.What is the complement of 12° (in degrees)?
  15. 15.Are 12° and 168° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  16. 16.Two parallel lines are cut by a transversal. One angle is 37°. What is its corresponding angle (in degrees)?
  17. 17.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  18. 18.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)?
  19. 19.What is the complement of 84° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 28°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the supplement of 56° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 88°. 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 154°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 67°. What is the angle next to it on the same line (in degrees)?
  25. 25.What is the complement of 26° (in degrees)?
  26. 26.What is the supplement of 21° (in degrees)?
  27. 27.What is the complement of 30° (in degrees)?
  28. 28.What is the supplement of 131° (in degrees)?
  29. 29.What is the supplement of 107° (in degrees)?
  30. 30.Are 72° and 121° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  31. 31.What is the supplement of 162° (in degrees)?
  32. 32.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the supplement of 8° (in degrees)?
  34. 34.Are 62° and 118° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  35. 35.Are 27° and 63° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  36. 36.Two straight lines cross each other. One of the angles formed is 117°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 122°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 159°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Are 48° and 132° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  40. 40.What is the supplement of 57° (in degrees)?

Answer key

  1. 36
  2. 80
  3. 66
  4. 31
  5. 38
  6. Supplementary
  7. Supplementary
  8. 48
  9. 121
  10. 75
  11. 13
  12. 35
  13. 157
  14. 78
  15. Supplementary
  16. 37
  17. 103
  18. 139
  19. 6
  20. 28
  21. 124
  22. 92
  23. 154
  24. 113
  25. 64
  26. 159
  27. 60
  28. 49
  29. 73
  30. Neither
  31. 18
  32. 56
  33. 172
  34. Supplementary
  35. Complementary
  36. 117
  37. 122
  38. 159
  39. Supplementary
  40. 123

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