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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 913 · 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 60° (in degrees)?
  2. 2.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 10° (in degrees)?
  4. 4.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the complement of 35° (in degrees)?
  6. 6.What is the complement of 27° (in degrees)?
  7. 7.Are 16° and 162° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  8. 8.What is the complement of 69° (in degrees)?
  9. 9.Are 73° and 17° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  10. 10.What is the complement of 45° (in degrees)?
  11. 11.What is the supplement of 162° (in degrees)?
  12. 12.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the complement of 39° (in degrees)?
  14. 14.What is the complement of 38° (in degrees)?
  15. 15.Are 49° and 78° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  16. 16.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the complement of 12° (in degrees)?
  18. 18.What is the supplement of 36° (in degrees)?
  19. 19.What is the complement of 83° (in degrees)?
  20. 20.What is the complement of 14° (in degrees)?
  21. 21.Are 34° and 146° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  22. 22.What is the complement of 55° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 138°. What is its alternate interior angle (in degrees)?
  24. 24.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 143°. What is its corresponding angle (in degrees)?
  26. 26.What is the complement of 62° (in degrees)?
  27. 27.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the complement of 31° (in degrees)?
  29. 29.What is the supplement of 149° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 35°. What is its corresponding angle (in degrees)?
  31. 31.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  34. 34.Are 50° and 40° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  35. 35.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  36. 36.Are 75° and 105° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  37. 37.Two straight lines cross each other. One of the angles formed is 155°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 31°. What is the angle vertically opposite to it (in degrees)?
  40. 40.What is the complement of 50° (in degrees)?

Answer key

  1. 30
  2. 131
  3. 80
  4. 64
  5. 55
  6. 63
  7. Neither
  8. 21
  9. Complementary
  10. 45
  11. 18
  12. 159
  13. 51
  14. 52
  15. Neither
  16. 59
  17. 78
  18. 144
  19. 7
  20. 76
  21. Supplementary
  22. 35
  23. 138
  24. 71
  25. 143
  26. 28
  27. 78
  28. 59
  29. 31
  30. 35
  31. 99
  32. 46
  33. 118
  34. Complementary
  35. 79
  36. Supplementary
  37. 25
  38. 65
  39. 31
  40. 40

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