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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 723 · 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 parallel lines are cut by a transversal. One interior angle is 85°. What is its alternate interior angle (in degrees)?
  2. 2.What is the supplement of 153° (in degrees)?
  3. 3.What is the complement of 76° (in degrees)?
  4. 4.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 163° (in degrees)?
  6. 6.Are 70° and 56° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 43° (in degrees)?
  9. 9.What is the supplement of 156° (in degrees)?
  10. 10.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the supplement of 109° (in degrees)?
  12. 12.Are 53° and 37° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  13. 13.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the supplement of 24° (in degrees)?
  15. 15.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)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.What is the supplement of 5° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 160°. What is the angle next to it on the same line (in degrees)?
  19. 19.Are 79° and 11° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 112°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.What is the complement of 5° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 140°. What is the angle vertically opposite to it (in degrees)?
  23. 23.What is the supplement of 30° (in degrees)?
  24. 24.What is the supplement of 102° (in degrees)?
  25. 25.Are 64° and 170° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 95°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.What is the complement of 44° (in degrees)?
  28. 28.Are 58° and 32° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.Are 13° and 77° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  30. 30.Two straight lines cross each other. One of the angles formed is 31°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 97°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.What is the supplement of 20° (in degrees)?
  33. 33.Are 33° and 147° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  34. 34.What is the complement of 54° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 106°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 142°. What is its corresponding angle (in degrees)?
  37. 37.What is the complement of 39° (in degrees)?
  38. 38.Are 52° and 128° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  39. 39.What is the supplement of 8° (in degrees)?
  40. 40.What is the complement of 79° (in degrees)?

Answer key

  1. 85
  2. 27
  3. 14
  4. 78
  5. 17
  6. Neither
  7. 66
  8. 47
  9. 24
  10. 76
  11. 71
  12. Complementary
  13. 54
  14. 156
  15. 83
  16. 142
  17. 175
  18. 20
  19. Complementary
  20. 68
  21. 85
  22. 140
  23. 150
  24. 78
  25. Neither
  26. 85
  27. 46
  28. Complementary
  29. Complementary
  30. 31
  31. 83
  32. 160
  33. Supplementary
  34. 36
  35. 106
  36. 142
  37. 51
  38. Supplementary
  39. 172
  40. 11

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