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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 506 · 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 supplement of 87° (in degrees)?
  2. 2.What is the complement of 79° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 65°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the supplement of 152° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its alternate interior angle (in degrees)?
  8. 8.What is the complement of 72° (in degrees)?
  9. 9.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two angles are supplementary. One is 110° more than the other. What is the bigger angle (in degrees)?
  11. 11.Are 45° and 135° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  12. 12.Two straight lines cross each other. One of the angles formed is 130°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the supplement of 47° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its other interior angle on the same side of the transversal (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 angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 152°. What is the angle next to it on the same line (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 119°. What is the angle next to it on the same line (in degrees)?
  19. 19.Are 19° and 71° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  20. 20.What is the complement of 68° (in degrees)?
  21. 21.Are 20° and 160° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  22. 22.What is the complement of 45° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 124°. What is the angle next to it on the same line (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 46°. What is the angle vertically opposite to it (in degrees)?
  25. 25.What is the supplement of 118° (in degrees)?
  26. 26.Are 42° and 6° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  27. 27.What is the complement of 49° (in degrees)?
  28. 28.What is the complement of 64° (in degrees)?
  29. 29.Are 56° and 22° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  30. 30.What is the supplement of 40° (in degrees)?
  31. 31.What is the complement of 39° (in degrees)?
  32. 32.What is the complement of 46° (in degrees)?
  33. 33.What is the supplement of 169° (in degrees)?
  34. 34.What is the complement of 7° (in degrees)?
  35. 35.Are 48° and 132° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.Are 16° and 129° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  37. 37.What is the supplement of 115° (in degrees)?
  38. 38.What is the supplement of 122° (in degrees)?
  39. 39.Are 74° and 106° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. 93
  2. 11
  3. 30
  4. 65
  5. 57
  6. 28
  7. 111
  8. 18
  9. 115
  10. 145
  11. Supplementary
  12. 130
  13. 133
  14. 126
  15. 83
  16. 58
  17. 28
  18. 61
  19. Complementary
  20. 22
  21. Supplementary
  22. 45
  23. 56
  24. 46
  25. 62
  26. Neither
  27. 41
  28. 26
  29. Neither
  30. 140
  31. 51
  32. 44
  33. 11
  34. 83
  35. Supplementary
  36. Neither
  37. 65
  38. 58
  39. Supplementary
  40. 124

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