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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 228 · 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 33° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 83°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its alternate interior angle (in degrees)?
  4. 4.What is the complement of 22° (in degrees)?
  5. 5.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the complement of 63° (in degrees)?
  7. 7.What is the supplement of 51° (in degrees)?
  8. 8.Are 38° and 105° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  9. 9.Two straight lines cross each other. One of the angles formed is 105°. What is the angle next to it on the same line (in degrees)?
  10. 10.What is the complement of 54° (in degrees)?
  11. 11.What is the supplement of 66° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 109°. What is the angle next to it on the same line (in degrees)?
  13. 13.Are 52° and 83° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  14. 14.What is the complement of 53° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 134°. What is its corresponding angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 78°. What is the angle next to it on the same line (in degrees)?
  17. 17.Are 36° and 144° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  18. 18.What is the supplement of 76° (in degrees)?
  19. 19.Are 68° and 112° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 112°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the complement of 28° (in degrees)?
  23. 23.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the complement of 74° (in degrees)?
  25. 25.What is the supplement of 31° (in degrees)?
  26. 26.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  27. 27.What is the supplement of 21° (in degrees)?
  28. 28.What is the complement of 17° (in degrees)?
  29. 29.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  31. 31.Are 49° and 41° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  32. 32.What is the supplement of 18° (in degrees)?
  33. 33.What is the supplement of 22° (in degrees)?
  34. 34.What is the supplement of 135° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 44°. What is the angle next to it on the same line (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 111°. What is its corresponding angle (in degrees)?
  37. 37.What is the supplement of 33° (in degrees)?
  38. 38.Are 79° and 95° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  39. 39.What is the supplement of 89° (in degrees)?
  40. 40.Are 60° and 30° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither

Answer key

  1. 57
  2. 83
  3. 47
  4. 68
  5. 144
  6. 27
  7. 129
  8. Neither
  9. 75
  10. 36
  11. 114
  12. 71
  13. Neither
  14. 37
  15. 134
  16. 102
  17. Supplementary
  18. 104
  19. Supplementary
  20. 68
  21. 49
  22. 62
  23. 76
  24. 16
  25. 149
  26. 50
  27. 159
  28. 73
  29. 117
  30. 65
  31. Complementary
  32. 162
  33. 158
  34. 45
  35. 136
  36. 111
  37. 147
  38. Neither
  39. 91
  40. Complementary

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