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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 500 · 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.Are 55° and 35° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  2. 2.What is the complement of 59° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 123°. What is its alternate interior angle (in degrees)?
  5. 5.What is the supplement of 30° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its alternate interior angle (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 117°. What is the angle vertically opposite to it (in degrees)?
  8. 8.What is the complement of 84° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 110°. What is its corresponding angle (in degrees)?
  10. 10.Are 76° and 104° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  11. 11.Are 13° and 77° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  12. 12.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  13. 13.Are 66° and 24° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  14. 14.Two straight lines cross each other. One of the angles formed is 57°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Are 68° and 33° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  16. 16.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?
  18. 18.What is the supplement of 172° (in degrees)?
  19. 19.What is the complement of 77° (in degrees)?
  20. 20.What is the complement of 23° (in degrees)?
  21. 21.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 93° (in degrees)?
  23. 23.What is the supplement of 160° (in degrees)?
  24. 24.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)?
  25. 25.What is the supplement of 105° (in degrees)?
  26. 26.What is the complement of 21° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 74°. What is the angle next to it on the same line (in degrees)?
  28. 28.Are 33° and 104° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  29. 29.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 167° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its alternate interior angle (in degrees)?
  32. 32.What is the complement of 68° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 92°. What is its corresponding angle (in degrees)?
  34. 34.Are 24° and 66° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  35. 35.What is the supplement of 169° (in degrees)?
  36. 36.What is the complement of 69° (in degrees)?
  37. 37.Are 11° and 139° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  38. 38.Are 16° and 74° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  39. 39.Two straight lines cross each other. One of the angles formed is 114°. What is the angle next to it on the same line (in degrees)?
  40. 40.What is the complement of 64° (in degrees)?

Answer key

  1. Complementary
  2. 31
  3. 55
  4. 123
  5. 150
  6. 111
  7. 117
  8. 6
  9. 110
  10. Supplementary
  11. Complementary
  12. 50
  13. Complementary
  14. 57
  15. Neither
  16. 62
  17. 75
  18. 8
  19. 13
  20. 67
  21. 56
  22. 87
  23. 20
  24. 52
  25. 75
  26. 69
  27. 106
  28. Neither
  29. 48
  30. 13
  31. 47
  32. 22
  33. 92
  34. Complementary
  35. 11
  36. 21
  37. Neither
  38. Complementary
  39. 66
  40. 26

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