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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 457 · 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 15° and 75° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  2. 2.Two straight lines cross each other. One of the angles formed is 128°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 141°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 150°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 138°. What is the angle next to it on the same line (in degrees)?
  6. 6.Are 32° and 66° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  7. 7.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 66° (in degrees)?
  9. 9.Are 17° and 138° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  10. 10.Two straight lines cross each other. One of the angles formed is 51°. What is the angle next to it on the same line (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 28°. What is the angle next to it on the same line (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its alternate interior angle (in degrees)?
  13. 13.Are 33° and 57° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  14. 14.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two angles are supplementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its alternate interior angle (in degrees)?
  17. 17.Are 32° and 58° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  18. 18.What is the supplement of 35° (in degrees)?
  19. 19.What is the complement of 11° (in degrees)?
  20. 20.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its alternate interior angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 43°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Are 75° and 105° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  24. 24.Are 65° and 133° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  25. 25.What is the complement of 71° (in degrees)?
  26. 26.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  27. 27.Are 47° and 5° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  28. 28.Are 22° and 158° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  29. 29.What is the complement of 16° (in degrees)?
  30. 30.What is the complement of 25° (in degrees)?
  31. 31.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  32. 32.Are 34° and 145° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  33. 33.Are 27° and 27° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  34. 34.Are 76° and 104° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.Two straight lines cross each other. One of the angles formed is 38°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 91°. What is the angle next to it on the same line (in degrees)?
  37. 37.Are 24° and 156° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  38. 38.Two straight lines cross each other. One of the angles formed is 143°. What is the angle next to it on the same line (in degrees)?
  39. 39.What is the supplement of 74° (in degrees)?
  40. 40.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. Complementary
  2. 128
  3. 39
  4. 30
  5. 42
  6. Neither
  7. 155
  8. 24
  9. Neither
  10. 129
  11. 152
  12. 56
  13. Complementary
  14. 76
  15. 124
  16. 48
  17. Complementary
  18. 145
  19. 79
  20. 159
  21. 115
  22. 43
  23. Supplementary
  24. Neither
  25. 19
  26. 91
  27. Neither
  28. Supplementary
  29. 74
  30. 65
  31. 53
  32. Neither
  33. Neither
  34. Supplementary
  35. 38
  36. 89
  37. Supplementary
  38. 37
  39. 106
  40. 69

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