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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 25 · 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 supplement of 55° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 120°. What is the angle next to it on the same line (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.Two parallel lines are cut by a transversal. One interior angle is 95°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 118°. What is the angle vertically opposite to it (in degrees)?
  6. 6.What is the complement of 18° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 128°. What is the angle next to it on the same line (in degrees)?
  8. 8.What is the supplement of 64° (in degrees)?
  9. 9.Are 19° and 161° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  10. 10.Two angles are supplementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  11. 11.Are 24° and 66° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  12. 12.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.What is the complement of 27° (in degrees)?
  15. 15.What is the complement of 16° (in degrees)?
  16. 16.Are 30° and 150° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.Are 80° and 10° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  19. 19.What is the complement of 67° (in degrees)?
  20. 20.What is the complement of 29° (in degrees)?
  21. 21.What is the supplement of 131° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 26°. What is the angle next to it on the same line (in degrees)?
  23. 23.Are 14° and 76° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.Are 77° and 13° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  25. 25.What is the supplement of 16° (in degrees)?
  26. 26.Are 53° and 37° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  27. 27.What is the complement of 35° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 79°. What is its corresponding angle (in degrees)?
  29. 29.What is the complement of 43° (in degrees)?
  30. 30.Are 16° and 61° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  31. 31.What is the supplement of 142° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 59°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the supplement of 48° (in degrees)?
  35. 35.What is the supplement of 92° (in degrees)?
  36. 36.What is the supplement of 41° (in degrees)?
  37. 37.What is the complement of 25° (in degrees)?
  38. 38.What is the complement of 7° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its alternate interior angle (in degrees)?
  40. 40.What is the complement of 14° (in degrees)?

Answer key

  1. 125
  2. 60
  3. 47
  4. 85
  5. 118
  6. 72
  7. 52
  8. 116
  9. Supplementary
  10. 92
  11. Complementary
  12. 53
  13. 145
  14. 63
  15. 74
  16. Supplementary
  17. 59
  18. Complementary
  19. 23
  20. 61
  21. 49
  22. 154
  23. Complementary
  24. Complementary
  25. 164
  26. Complementary
  27. 55
  28. 79
  29. 47
  30. Neither
  31. 38
  32. 59
  33. 51
  34. 132
  35. 88
  36. 139
  37. 65
  38. 83
  39. 49
  40. 76

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