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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 440 · 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 62°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 28°. What is the angle vertically opposite to it (in degrees)?
  3. 3.What is the complement of 31° (in degrees)?
  4. 4.Are 25° and 65° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  5. 5.Are 76° and 104° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  6. 6.Are 46° and 44° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  7. 7.What is the complement of 53° (in degrees)?
  8. 8.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 147°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.What is the supplement of 49° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 158°. What is the angle next to it on the same line (in degrees)?
  12. 12.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  13. 13.Are 30° and 150° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  14. 14.What is the supplement of 148° (in degrees)?
  15. 15.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 58°. What is its corresponding angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One angle is 65°. What is its corresponding angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 109°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.What is the complement of 21° (in degrees)?
  20. 20.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 148°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Are 55° and 43° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  23. 23.Are 13° and 77° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  24. 24.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 48°. What is the angle next to it on the same line (in degrees)?
  26. 26.What is the supplement of 108° (in degrees)?
  27. 27.Are 68° and 112° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  28. 28.Are 29° and 5° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 75°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.What is the complement of 28° (in degrees)?
  31. 31.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the complement of 48° (in degrees)?
  33. 33.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the complement of 39° (in degrees)?
  35. 35.What is the complement of 33° (in degrees)?
  36. 36.Are 12° and 110° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  37. 37.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  38. 38.Are 80° and 79° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.What is the complement of 26° (in degrees)?
  40. 40.Are 51° and 129° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary

Answer key

  1. 118
  2. 28
  3. 59
  4. Complementary
  5. Supplementary
  6. Complementary
  7. 37
  8. 111
  9. 33
  10. 131
  11. 22
  12. 54
  13. Supplementary
  14. 32
  15. 70
  16. 58
  17. 65
  18. 71
  19. 69
  20. 48
  21. 148
  22. Neither
  23. Complementary
  24. 103
  25. 132
  26. 72
  27. Supplementary
  28. Neither
  29. 105
  30. 62
  31. 147
  32. 42
  33. 55
  34. 51
  35. 57
  36. Neither
  37. 79
  38. Neither
  39. 64
  40. Supplementary

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