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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 715 · 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 interior angle is 52°. What is its alternate interior angle (in degrees)?
  2. 2.Two angles are supplementary. One is 132° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 146°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 129°. What is its alternate interior angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 105°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.What is the complement of 69° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 113°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 34°. What is its alternate interior angle (in degrees)?
  10. 10.What is the complement of 6° (in degrees)?
  11. 11.What is the supplement of 99° (in degrees)?
  12. 12.What is the supplement of 41° (in degrees)?
  13. 13.Are 39° and 141° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  14. 14.What is the complement of 47° (in degrees)?
  15. 15.What is the complement of 10° (in degrees)?
  16. 16.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One angle is 124°. What is its corresponding angle (in degrees)?
  18. 18.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its alternate interior angle (in degrees)?
  20. 20.Are 21° and 159° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  21. 21.What is the complement of 68° (in degrees)?
  22. 22.What is the complement of 40° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 119°. What is its corresponding angle (in degrees)?
  24. 24.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  25. 25.Are 65° and 168° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  26. 26.What is the supplement of 8° (in degrees)?
  27. 27.What is the complement of 61° (in degrees)?
  28. 28.What is the complement of 46° (in degrees)?
  29. 29.What is the complement of 70° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 87°. What is the angle next to it on the same line (in degrees)?
  31. 31.What is the supplement of 173° (in degrees)?
  32. 32.Are 29° and 144° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 57°. What is the angle next to it on the same line (in degrees)?
  35. 35.Are 11° and 118° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  36. 36.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  37. 37.Are 41° and 33° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  38. 38.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One angle is 103°. What is its corresponding angle (in degrees)?
  40. 40.What is the supplement of 56° (in degrees)?

Answer key

  1. 52
  2. 156
  3. 146
  4. 120
  5. 129
  6. 75
  7. 21
  8. 113
  9. 34
  10. 84
  11. 81
  12. 139
  13. Supplementary
  14. 43
  15. 80
  16. 152
  17. 124
  18. 68
  19. 98
  20. Supplementary
  21. 22
  22. 50
  23. 119
  24. 46
  25. Neither
  26. 172
  27. 29
  28. 44
  29. 20
  30. 93
  31. 7
  32. Neither
  33. 62
  34. 123
  35. Neither
  36. 97
  37. Neither
  38. 151
  39. 103
  40. 124

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