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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 541 · 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 angle is 122°. What is its corresponding angle (in degrees)?
  2. 2.What is the supplement of 28° (in degrees)?
  3. 3.What is the supplement of 65° (in degrees)?
  4. 4.What is the supplement of 143° (in degrees)?
  5. 5.Are 27° and 63° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  6. 6.Are 43° and 137° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  7. 7.Are 21° and 69° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  8. 8.What is the supplement of 122° (in degrees)?
  9. 9.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the supplement of 54° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its alternate interior angle (in degrees)?
  13. 13.What is the supplement of 24° (in degrees)?
  14. 14.Are 54° and 126° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  15. 15.What is the supplement of 45° (in degrees)?
  16. 16.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the complement of 28° (in degrees)?
  19. 19.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)?
  20. 20.Two angles are supplementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  21. 21.Are 68° and 112° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  22. 22.Are 44° and 136° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  23. 23.Are 63° and 117° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  24. 24.Two straight lines cross each other. One of the angles formed is 42°. What is the angle next to it on the same line (in degrees)?
  25. 25.What is the supplement of 76° (in degrees)?
  26. 26.Are 61° and 29° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.Two straight lines cross each other. One of the angles formed is 32°. What is the angle next to it on the same line (in degrees)?
  28. 28.What is the supplement of 141° (in degrees)?
  29. 29.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  30. 30.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)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 72°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.Are 47° and 43° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 143°. What is its alternate interior angle (in degrees)?
  34. 34.What is the complement of 8° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 96°. What is its corresponding angle (in degrees)?
  36. 36.What is the supplement of 26° (in degrees)?
  37. 37.What is the supplement of 92° (in degrees)?
  38. 38.What is the supplement of 84° (in degrees)?
  39. 39.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 50°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 122
  2. 152
  3. 115
  4. 37
  5. Complementary
  6. Supplementary
  7. Complementary
  8. 58
  9. 74
  10. 55
  11. 126
  12. 111
  13. 156
  14. Supplementary
  15. 135
  16. 139
  17. 69
  18. 62
  19. 158
  20. 92
  21. Supplementary
  22. Supplementary
  23. Supplementary
  24. 138
  25. 104
  26. Complementary
  27. 148
  28. 39
  29. 50
  30. 37
  31. 108
  32. Complementary
  33. 143
  34. 82
  35. 96
  36. 154
  37. 88
  38. 96
  39. 64
  40. 130

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