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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 446 · 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 angle is 148°. What is its corresponding angle (in degrees)?
  2. 2.What is the supplement of 33° (in degrees)?
  3. 3.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)?
  4. 4.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One angle is 55°. What is its corresponding angle (in degrees)?
  6. 6.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the supplement of 93° (in degrees)?
  9. 9.What is the complement of 29° (in degrees)?
  10. 10.Are 19° and 71° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  11. 11.Two straight lines cross each other. One of the angles formed is 157°. What is the angle next to it on the same line (in degrees)?
  12. 12.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)?
  13. 13.What is the supplement of 6° (in degrees)?
  14. 14.What is the complement of 32° (in degrees)?
  15. 15.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 34° and 146° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  17. 17.Are 46° and 134° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  18. 18.Two straight lines cross each other. One of the angles formed is 40°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 90°. What is the angle next to it on the same line (in degrees)?
  20. 20.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 91°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Are 22° and 24° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  23. 23.Two angles are supplementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the complement of 23° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 34°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 45°. What is the angle next to it on the same line (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 46°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  30. 30.Are 45° and 45° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  33. 33.Are 48° and 42° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.Two straight lines cross each other. One of the angles formed is 129°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 95°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its alternate interior angle (in degrees)?
  37. 37.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  38. 38.Are 54° and 105° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  39. 39.What is the supplement of 114° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 96°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 148
  2. 147
  3. 121
  4. 23
  5. 55
  6. 94
  7. 153
  8. 87
  9. 61
  10. Complementary
  11. 23
  12. 20
  13. 174
  14. 58
  15. 113
  16. Supplementary
  17. Supplementary
  18. 40
  19. 90
  20. 61
  21. 91
  22. Neither
  23. 114
  24. 117
  25. 67
  26. 34
  27. 135
  28. 134
  29. 151
  30. Complementary
  31. 133
  32. 106
  33. Complementary
  34. 129
  35. 95
  36. 78
  37. 149
  38. Neither
  39. 66
  40. 96

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