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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 595 · 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 25° and 155° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  2. 2.What is the complement of 55° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 42°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its alternate interior angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One angle is 63°. What is its corresponding angle (in degrees)?
  6. 6.Are 63° and 119° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  7. 7.What is the complement of 36° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 85°. What is the angle next to it on the same line (in degrees)?
  9. 9.What is the supplement of 127° (in degrees)?
  10. 10.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)?
  11. 11.Are 51° and 129° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the complement of 73° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its alternate interior angle (in degrees)?
  18. 18.What is the supplement of 152° (in degrees)?
  19. 19.What is the supplement of 132° (in degrees)?
  20. 20.What is the complement of 19° (in degrees)?
  21. 21.What is the supplement of 149° (in degrees)?
  22. 22.Are 74° and 106° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  23. 23.Two angles are supplementary. One is 110° more than the other. What is the bigger angle (in degrees)?
  24. 24.Are 62° and 118° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  25. 25.Two straight lines cross each other. One of the angles formed is 84°. What is the angle vertically opposite to it (in degrees)?
  26. 26.What is the supplement of 159° (in degrees)?
  27. 27.What is the complement of 82° (in degrees)?
  28. 28.What is the supplement of 37° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One angle is 128°. What is its corresponding angle (in degrees)?
  30. 30.What is the supplement of 33° (in degrees)?
  31. 31.Are 73° and 79° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  32. 32.Are 39° and 51° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  33. 33.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  34. 34.Are 63° and 41° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  35. 35.Are 69° and 52° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.Are 13° and 77° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 108°. What is its alternate interior angle (in degrees)?
  38. 38.What is the complement of 48° (in degrees)?
  39. 39.What is the complement of 50° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 102°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. Supplementary
  2. 35
  3. 138
  4. 114
  5. 63
  6. Neither
  7. 54
  8. 95
  9. 53
  10. 105
  11. Supplementary
  12. 110
  13. 94
  14. 72
  15. 17
  16. 23
  17. 91
  18. 28
  19. 48
  20. 71
  21. 31
  22. Supplementary
  23. 145
  24. Supplementary
  25. 84
  26. 21
  27. 8
  28. 143
  29. 128
  30. 147
  31. Neither
  32. Complementary
  33. 48
  34. Neither
  35. Neither
  36. Complementary
  37. 108
  38. 42
  39. 40
  40. 102

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