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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 714 · 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.What is the complement of 24° (in degrees)?
  2. 2.What is the complement of 19° (in degrees)?
  3. 3.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 84°. What is its corresponding angle (in degrees)?
  5. 5.What is the complement of 9° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its alternate interior angle (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 73°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Are 57° and 33° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 103°. What is its other interior angle on the same side of the transversal (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.What is the complement of 83° (in degrees)?
  13. 13.What is the supplement of 47° (in degrees)?
  14. 14.Are 47° and 110° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  15. 15.Are 48° and 142° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  16. 16.Are 21° and 150° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  17. 17.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  18. 18.Are 17° and 163° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  19. 19.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
  20. 20.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)?
  21. 21.What is the complement of 84° (in degrees)?
  22. 22.Are 20° and 31° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  23. 23.What is the complement of 74° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 77°. What is the angle next to it on the same line (in degrees)?
  25. 25.Are 31° and 147° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  26. 26.Two straight lines cross each other. One of the angles formed is 119°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the supplement of 60° (in degrees)?
  28. 28.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 97°. What is the angle next to it on the same line (in degrees)?
  30. 30.Are 68° and 112° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.Are 53° and 133° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  32. 32.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 95°. What is its alternate interior angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its alternate interior angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 124°. What is its corresponding angle (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 80°. What is its alternate interior angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 57°. What is the angle next to it on the same line (in degrees)?
  39. 39.Are 35° and 106° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  40. 40.Two straight lines cross each other. One of the angles formed is 30°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 66
  2. 71
  3. 47
  4. 84
  5. 81
  6. 130
  7. 120
  8. 73
  9. Complementary
  10. 77
  11. 120
  12. 7
  13. 133
  14. Neither
  15. Neither
  16. Neither
  17. 141
  18. Supplementary
  19. 55
  20. 129
  21. 6
  22. Neither
  23. 16
  24. 103
  25. Neither
  26. 119
  27. 120
  28. 105
  29. 83
  30. Supplementary
  31. Neither
  32. 72
  33. 73
  34. 95
  35. 128
  36. 124
  37. 80
  38. 123
  39. Neither
  40. 150

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