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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 550 · 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 38°. What is its alternate interior angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 84°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  4. 4.Are 58° and 32° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  5. 5.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the supplement of 144° (in degrees)?
  7. 7.What is the supplement of 32° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 41°. What is its corresponding angle (in degrees)?
  9. 9.What is the supplement of 161° (in degrees)?
  10. 10.Are 29° and 13° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  11. 11.Are 33° and 57° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  12. 12.Two straight lines cross each other. One of the angles formed is 63°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 46°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the complement of 41° (in degrees)?
  18. 18.Are 16° and 150° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  19. 19.What is the complement of 58° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 56°. What is the angle next to it on the same line (in degrees)?
  21. 21.What is the supplement of 7° (in degrees)?
  22. 22.What is the supplement of 37° (in degrees)?
  23. 23.What is the supplement of 18° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the supplement of 44° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.What is the complement of 43° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 136°. What is the angle next to it on the same line (in degrees)?
  29. 29.What is the supplement of 163° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 83°. What is the angle next to it on the same line (in degrees)?
  31. 31.What is the complement of 34° (in degrees)?
  32. 32.What is the complement of 26° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 69°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 94°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Are 32° and 58° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  38. 38.Two straight lines cross each other. One of the angles formed is 52°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Are 28° and 62° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  40. 40.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 38
  2. 96
  3. 103
  4. Complementary
  5. 120
  6. 36
  7. 148
  8. 41
  9. 19
  10. Neither
  11. Complementary
  12. 63
  13. 80
  14. 46
  15. 67
  16. 66
  17. 49
  18. Neither
  19. 32
  20. 124
  21. 173
  22. 143
  23. 162
  24. 132
  25. 136
  26. 142
  27. 47
  28. 44
  29. 17
  30. 97
  31. 56
  32. 64
  33. 82
  34. 60
  35. 69
  36. 94
  37. Complementary
  38. 52
  39. Complementary
  40. 77

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