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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 727 · 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 128°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 69°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.What is the complement of 83° (in degrees)?
  4. 4.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the complement of 46° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 100°. What is its corresponding angle (in degrees)?
  8. 8.What is the complement of 64° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 100°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 146°. What is its corresponding angle (in degrees)?
  11. 11.What is the complement of 22° (in degrees)?
  12. 12.What is the supplement of 68° (in degrees)?
  13. 13.What is the complement of 70° (in degrees)?
  14. 14.What is the complement of 37° (in degrees)?
  15. 15.What is the supplement of 86° (in degrees)?
  16. 16.What is the complement of 11° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 125°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.Are 21° and 159° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  19. 19.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 68°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the complement of 29° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 33°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.What is the complement of 75° (in degrees)?
  24. 24.What is the supplement of 31° (in degrees)?
  25. 25.What is the complement of 28° (in degrees)?
  26. 26.Are 55° and 12° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its alternate interior angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 133°. What is its alternate interior angle (in degrees)?
  29. 29.What is the supplement of 22° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.Are 20° and 160° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  32. 32.Are 43° and 140° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  33. 33.Are 36° and 100° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  34. 34.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  36. 36.Are 34° and 55° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.What is the complement of 77° (in degrees)?
  38. 38.Are 21° and 69° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.Are 70° and 85° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  40. 40.Two straight lines cross each other. One of the angles formed is 119°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 52
  2. 111
  3. 7
  4. 157
  5. 48
  6. 44
  7. 100
  8. 26
  9. 100
  10. 146
  11. 68
  12. 112
  13. 20
  14. 53
  15. 94
  16. 79
  17. 55
  18. Supplementary
  19. 150
  20. 68
  21. 61
  22. 147
  23. 15
  24. 149
  25. 62
  26. Neither
  27. 86
  28. 133
  29. 158
  30. 122
  31. Supplementary
  32. Neither
  33. Neither
  34. 55
  35. 53
  36. Neither
  37. 13
  38. Complementary
  39. Neither
  40. 61

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