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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 21 · 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 angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  2. 2.Are 36° and 54° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  3. 3.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 33°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?
  6. 6.Are 54° and 36° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its alternate interior angle (in degrees)?
  8. 8.Are 26° and 64° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  9. 9.What is the supplement of 103° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 37°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the complement of 82° (in degrees)?
  12. 12.Are 38° and 114° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  13. 13.Two parallel lines are cut by a transversal. One angle is 150°. What is its corresponding angle (in degrees)?
  14. 14.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  15. 15.Are 59° and 121° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  16. 16.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 28° (in degrees)?
  18. 18.What is the complement of 8° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 110°. What is the angle next to it on the same line (in degrees)?
  20. 20.What is the complement of 18° (in degrees)?
  21. 21.What is the complement of 12° (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 angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the complement of 65° (in degrees)?
  26. 26.What is the complement of 36° (in degrees)?
  27. 27.What is the supplement of 158° (in degrees)?
  28. 28.What is the complement of 46° (in degrees)?
  29. 29.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the complement of 9° (in degrees)?
  31. 31.Are 63° and 117° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  32. 32.What is the supplement of 46° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
  34. 34.What is the supplement of 22° (in degrees)?
  35. 35.Are 50° and 40° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  36. 36.Two straight lines cross each other. One of the angles formed is 131°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 125°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its alternate interior angle (in degrees)?
  39. 39.What is the complement of 59° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 121°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 50
  2. Complementary
  3. 159
  4. 147
  5. 140
  6. Complementary
  7. 31
  8. Complementary
  9. 77
  10. 37
  11. 8
  12. Neither
  13. 150
  14. 75
  15. Supplementary
  16. 103
  17. 152
  18. 82
  19. 70
  20. 72
  21. 78
  22. 96
  23. 72
  24. 63
  25. 25
  26. 54
  27. 22
  28. 44
  29. 131
  30. 81
  31. Supplementary
  32. 134
  33. 42
  34. 158
  35. Complementary
  36. 131
  37. 55
  38. 111
  39. 31
  40. 59

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