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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 232 · 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 65° (in degrees)?
  2. 2.Are 66° and 167° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  3. 3.Are 72° and 18° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  4. 4.Two straight lines cross each other. One of the angles formed is 133°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 50°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.What is the complement of 51° (in degrees)?
  8. 8.What is the supplement of 26° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 116°. What is the angle vertically opposite to it (in degrees)?
  10. 10.What is the complement of 34° (in degrees)?
  11. 11.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two angles are supplementary. One is 116° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 140°. What is its other interior angle on the same side of the transversal (in degrees)?
  15. 15.What is the complement of 17° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 128°. What is the angle next to it on the same line (in degrees)?
  17. 17.Are 10° and 170° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 55°. What is its alternate interior angle (in degrees)?
  19. 19.What is the complement of 84° (in degrees)?
  20. 20.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the supplement of 58° (in degrees)?
  22. 22.What is the complement of 39° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 82°. What is its corresponding angle (in degrees)?
  24. 24.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the supplement of 166° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 153°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the supplement of 120° (in degrees)?
  28. 28.What is the complement of 8° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 143°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 59°. What is the angle vertically opposite to it (in degrees)?
  31. 31.What is the complement of 79° (in degrees)?
  32. 32.Are 16° and 28° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  33. 33.Two straight lines cross each other. One of the angles formed is 149°. What is the angle vertically opposite to it (in degrees)?
  34. 34.What is the complement of 50° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 106°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.What is the supplement of 119° (in degrees)?
  37. 37.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 53°. What is its corresponding angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 33°. What is the angle vertically opposite to it (in degrees)?
  40. 40.What is the complement of 37° (in degrees)?

Answer key

  1. 25
  2. Neither
  3. Complementary
  4. 133
  5. 130
  6. 93
  7. 39
  8. 154
  9. 116
  10. 56
  11. 119
  12. 148
  13. 53
  14. 40
  15. 73
  16. 52
  17. Supplementary
  18. 55
  19. 6
  20. 111
  21. 122
  22. 51
  23. 82
  24. 127
  25. 14
  26. 153
  27. 60
  28. 82
  29. 143
  30. 59
  31. 11
  32. Neither
  33. 149
  34. 40
  35. 74
  36. 61
  37. 99
  38. 53
  39. 33
  40. 53

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