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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 889 · 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 15° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 62°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 70° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 138°. What is the angle next to it on the same line (in degrees)?
  7. 7.Are 56° and 34° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  8. 8.What is the supplement of 134° (in degrees)?
  9. 9.What is the complement of 82° (in degrees)?
  10. 10.What is the supplement of 151° (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 72°. What is its corresponding angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its alternate interior angle (in degrees)?
  13. 13.Are 10° and 80° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  14. 14.Are 18° and 36° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 137°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 146°. What is its corresponding angle (in degrees)?
  17. 17.What is the supplement of 119° (in degrees)?
  18. 18.What is the supplement of 6° (in degrees)?
  19. 19.Are 54° and 36° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  20. 20.Are 22° and 158° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  21. 21.Two parallel lines are cut by a transversal. One angle is 63°. What is its corresponding angle (in degrees)?
  22. 22.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 132°. What is the angle next to it on the same line (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 135°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.Are 79° and 101° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  30. 30.What is the supplement of 35° (in degrees)?
  31. 31.What is the supplement of 133° (in degrees)?
  32. 32.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 89°. What is the angle next to it on the same line (in degrees)?
  34. 34.What is the complement of 27° (in degrees)?
  35. 35.Are 39° and 51° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  36. 36.What is the supplement of 12° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 59°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the complement of 81° (in degrees)?
  39. 39.What is the supplement of 102° (in degrees)?
  40. 40.What is the complement of 51° (in degrees)?

Answer key

  1. 75
  2. 62
  3. 104
  4. 63
  5. 110
  6. 42
  7. Complementary
  8. 46
  9. 8
  10. 29
  11. 72
  12. 58
  13. Complementary
  14. Neither
  15. 43
  16. 146
  17. 61
  18. 174
  19. Complementary
  20. Supplementary
  21. 63
  22. 80
  23. 106
  24. 151
  25. 48
  26. 135
  27. 53
  28. 59
  29. Supplementary
  30. 145
  31. 47
  32. 47
  33. 91
  34. 63
  35. Complementary
  36. 168
  37. 59
  38. 9
  39. 78
  40. 39

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