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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 163 · 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.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 36°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  4. 4.Are 60° and 30° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  5. 5.Two straight lines cross each other. One of the angles formed is 44°. What is the angle next to it on the same line (in degrees)?
  6. 6.Are 79° and 11° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  7. 7.Are 10° and 80° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  8. 8.What is the supplement of 89° (in degrees)?
  9. 9.Are 77° and 103° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  10. 10.Two straight lines cross each other. One of the angles formed is 159°. What is the angle next to it on the same line (in degrees)?
  11. 11.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its alternate interior angle (in degrees)?
  13. 13.Are 25° and 6° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  14. 14.Are 29° and 164° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  15. 15.What is the complement of 72° (in degrees)?
  16. 16.What is the supplement of 153° (in degrees)?
  17. 17.What is the supplement of 144° (in degrees)?
  18. 18.Are 27° and 63° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.Are 17° and 52° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 131°. What is its alternate interior angle (in degrees)?
  21. 21.What is the complement of 34° (in degrees)?
  22. 22.What is the supplement of 135° (in degrees)?
  23. 23.Are 28° and 152° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  24. 24.What is the complement of 15° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 149°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Are 11° and 79° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  27. 27.Are 47° and 55° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  28. 28.What is the complement of 77° (in degrees)?
  29. 29.What is the supplement of 34° (in degrees)?
  30. 30.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the complement of 56° (in degrees)?
  32. 32.What is the complement of 73° (in degrees)?
  33. 33.Two angles are supplementary. One is 88° more than the other. What is the bigger angle (in degrees)?
  34. 34.Are 18° and 162° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  35. 35.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the complement of 80° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 140°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 130°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 101
  2. 144
  3. 56
  4. Complementary
  5. 136
  6. Complementary
  7. Complementary
  8. 91
  9. Supplementary
  10. 21
  11. 51
  12. 38
  13. Neither
  14. Neither
  15. 18
  16. 27
  17. 36
  18. Complementary
  19. Neither
  20. 131
  21. 56
  22. 45
  23. Supplementary
  24. 75
  25. 149
  26. Complementary
  27. Neither
  28. 13
  29. 146
  30. 150
  31. 34
  32. 17
  33. 134
  34. Supplementary
  35. 48
  36. 10
  37. 40
  38. 159
  39. 80
  40. 50

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