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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 840 · 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 supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 22°. What is the angle vertically opposite to it (in degrees)?
  3. 3.What is the supplement of 115° (in degrees)?
  4. 4.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 83°. What is the angle vertically opposite to it (in degrees)?
  6. 6.What is the complement of 31° (in degrees)?
  7. 7.What is the supplement of 163° (in degrees)?
  8. 8.What is the complement of 48° (in degrees)?
  9. 9.What is the supplement of 144° (in degrees)?
  10. 10.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the complement of 24° (in degrees)?
  12. 12.Are 20° and 40° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  13. 13.What is the complement of 11° (in degrees)?
  14. 14.Are 49° and 41° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  15. 15.Two angles are supplementary. One is 76° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the supplement of 36° (in degrees)?
  17. 17.Are 78° and 102° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.Are 20° and 160° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  20. 20.What is the supplement of 13° (in degrees)?
  21. 21.What is the supplement of 162° (in degrees)?
  22. 22.What is the complement of 83° (in degrees)?
  23. 23.What is the supplement of 161° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 41°. What is the angle vertically opposite to it (in degrees)?
  25. 25.What is the supplement of 139° (in degrees)?
  26. 26.What is the complement of 49° (in degrees)?
  27. 27.What is the supplement of 74° (in degrees)?
  28. 28.Are 42° and 138° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  29. 29.Are 57° and 33° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  30. 30.What is the supplement of 27° (in degrees)?
  31. 31.Are 68° and 22° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its alternate interior angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 94°. What is the angle next to it on the same line (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 82°. What is the angle next to it on the same line (in degrees)?
  35. 35.Two angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the supplement of 92° (in degrees)?
  37. 37.Are 28° and 62° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  38. 38.Two straight lines cross each other. One of the angles formed is 130°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 91°. What is the angle vertically opposite to it (in degrees)?
  40. 40.What is the supplement of 122° (in degrees)?

Answer key

  1. 93
  2. 22
  3. 65
  4. 127
  5. 83
  6. 59
  7. 17
  8. 42
  9. 36
  10. 110
  11. 66
  12. Neither
  13. 79
  14. Complementary
  15. 128
  16. 144
  17. Supplementary
  18. 136
  19. Supplementary
  20. 167
  21. 18
  22. 7
  23. 19
  24. 41
  25. 41
  26. 41
  27. 106
  28. Supplementary
  29. Complementary
  30. 153
  31. Complementary
  32. 35
  33. 86
  34. 98
  35. 125
  36. 88
  37. Complementary
  38. 130
  39. 91
  40. 58

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