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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 255 · 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 straight lines cross each other. One of the angles formed is 144°. What is the angle vertically opposite to it (in degrees)?
  2. 2.What is the complement of 51° (in degrees)?
  3. 3.Are 40° and 140° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  4. 4.What is the supplement of 159° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 96°. What is its alternate interior angle (in degrees)?
  6. 6.What is the supplement of 152° (in degrees)?
  7. 7.What is the complement of 65° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  10. 10.What is the complement of 11° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 47°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the supplement of 117° (in degrees)?
  13. 13.What is the complement of 85° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 27°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 54°. What is the angle vertically opposite to it (in degrees)?
  16. 16.What is the complement of 54° (in degrees)?
  17. 17.Are 43° and 137° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  18. 18.Two straight lines cross each other. One of the angles formed is 59°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Are 77° and 152° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  20. 20.What is the complement of 14° (in degrees)?
  21. 21.What is the supplement of 50° (in degrees)?
  22. 22.Are 47° and 133° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  23. 23.What is the complement of 71° (in degrees)?
  24. 24.What is the supplement of 102° (in degrees)?
  25. 25.What is the supplement of 161° (in degrees)?
  26. 26.What is the complement of 75° (in degrees)?
  27. 27.Two angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  31. 31.Are 38° and 142° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  32. 32.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the supplement of 129° (in degrees)?
  34. 34.Are 18° and 55° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  35. 35.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  36. 36.Are 50° and 40° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  37. 37.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  38. 38.What is the supplement of 116° (in degrees)?
  39. 39.What is the complement of 24° (in degrees)?
  40. 40.What is the supplement of 127° (in degrees)?

Answer key

  1. 144
  2. 39
  3. Supplementary
  4. 21
  5. 96
  6. 28
  7. 25
  8. 137
  9. 24
  10. 79
  11. 47
  12. 63
  13. 5
  14. 153
  15. 54
  16. 36
  17. Supplementary
  18. 59
  19. Neither
  20. 76
  21. 130
  22. Supplementary
  23. 19
  24. 78
  25. 19
  26. 15
  27. 125
  28. 65
  29. 105
  30. 55
  31. Supplementary
  32. 48
  33. 51
  34. Neither
  35. 64
  36. Complementary
  37. 49
  38. 64
  39. 66
  40. 53

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