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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 849 · 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 55° and 125° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  2. 2.Are 45° and 135° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.Two parallel lines are cut by a transversal. One angle is 83°. What is its corresponding angle (in degrees)?
  4. 4.What is the complement of 47° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 76°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.What is the complement of 25° (in degrees)?
  7. 7.What is the complement of 78° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 32°. What is the angle next to it on the same line (in degrees)?
  9. 9.What is the complement of 46° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 94°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 71°. What is its corresponding angle (in degrees)?
  12. 12.What is the supplement of 39° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 114°. What is the angle vertically opposite to it (in degrees)?
  14. 14.What is the complement of 24° (in degrees)?
  15. 15.What is the supplement of 134° (in degrees)?
  16. 16.Are 17° and 163° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  17. 17.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 74°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 142°. What is its corresponding angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 74°. What is the angle next to it on the same line (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  24. 24.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)?
  25. 25.What is the supplement of 81° (in degrees)?
  26. 26.Are 42° and 48° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  27. 27.What is the supplement of 82° (in degrees)?
  28. 28.What is the complement of 49° (in degrees)?
  29. 29.Are 79° and 101° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  30. 30.What is the complement of 39° (in degrees)?
  31. 31.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the supplement of 79° (in degrees)?
  33. 33.What is the supplement of 20° (in degrees)?
  34. 34.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 84°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 53°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Are 19° and 95° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  39. 39.What is the complement of 82° (in degrees)?
  40. 40.What is the supplement of 167° (in degrees)?

Answer key

  1. Supplementary
  2. Supplementary
  3. 83
  4. 43
  5. 104
  6. 65
  7. 12
  8. 148
  9. 44
  10. 94
  11. 71
  12. 141
  13. 114
  14. 66
  15. 46
  16. Supplementary
  17. 48
  18. 74
  19. 153
  20. 142
  21. 106
  22. 121
  23. 23
  24. 83
  25. 99
  26. Complementary
  27. 98
  28. 41
  29. Supplementary
  30. 51
  31. 95
  32. 101
  33. 160
  34. 59
  35. 63
  36. 96
  37. 53
  38. Neither
  39. 8
  40. 13

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