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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 972 · 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.Are 56° and 123° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  2. 2.What is the complement of 8° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 148°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the supplement of 113° (in degrees)?
  5. 5.What is the complement of 29° (in degrees)?
  6. 6.Are 42° and 68° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 95°. What is its alternate interior angle (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 131°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.What is the complement of 58° (in degrees)?
  10. 10.Are 44° and 115° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  11. 11.Two straight lines cross each other. One of the angles formed is 92°. 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 26°. What is the angle next to it on the same line (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 33°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.What is the complement of 9° (in degrees)?
  15. 15.Are 31° and 149° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  16. 16.Two straight lines cross each other. One of the angles formed is 82°. What is the angle next to it on the same line (in degrees)?
  17. 17.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)?
  18. 18.Two straight lines cross each other. One of the angles formed is 44°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 64°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.What is the supplement of 140° (in degrees)?
  21. 21.What is the supplement of 119° (in degrees)?
  22. 22.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the supplement of 174° (in degrees)?
  24. 24.What is the complement of 78° (in degrees)?
  25. 25.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the complement of 6° (in degrees)?
  27. 27.What is the supplement of 55° (in degrees)?
  28. 28.What is the supplement of 169° (in degrees)?
  29. 29.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 84°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the supplement of 17° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 140°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 157°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 94°. What is the angle next to it on the same line (in degrees)?
  38. 38.Are 61° and 29° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.What is the supplement of 28° (in degrees)?
  40. 40.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. Neither
  2. 82
  3. 148
  4. 67
  5. 61
  6. Neither
  7. 95
  8. 49
  9. 32
  10. Neither
  11. 88
  12. 154
  13. 147
  14. 81
  15. Supplementary
  16. 98
  17. 121
  18. 44
  19. 116
  20. 40
  21. 61
  22. 59
  23. 6
  24. 12
  25. 72
  26. 84
  27. 125
  28. 11
  29. 55
  30. 117
  31. 84
  32. 163
  33. 140
  34. 157
  35. 120
  36. 80
  37. 86
  38. Complementary
  39. 152
  40. 97

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