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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 628 · 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 91°. What is its alternate interior angle (in degrees)?
  2. 2.Are 60° and 30° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 34°. 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 54°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 34°. What is the angle vertically opposite to it (in degrees)?
  6. 6.Are 79° and 101° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.Are 74° and 16° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  8. 8.Two straight lines cross each other. One of the angles formed is 42°. What is the angle next to it on the same line (in degrees)?
  9. 9.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  11. 11.Are 25° and 155° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  12. 12.Two straight lines cross each other. One of the angles formed is 92°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the supplement of 57° (in degrees)?
  14. 14.What is the supplement of 121° (in degrees)?
  15. 15.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the supplement of 33° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 80°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.What is the complement of 17° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 29°. What is the angle next to it on the same line (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One angle is 105°. What is its corresponding angle (in degrees)?
  22. 22.What is the complement of 9° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its alternate interior angle (in degrees)?
  24. 24.What is the supplement of 149° (in degrees)?
  25. 25.Are 40° and 64° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  26. 26.Two angles are supplementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 89°. What is the angle vertically opposite to it (in degrees)?
  28. 28.What is the supplement of 65° (in degrees)?
  29. 29.Are 62° and 6° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  30. 30.What is the complement of 35° (in degrees)?
  31. 31.Two angles are supplementary. One is 116° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the supplement of 24° (in degrees)?
  33. 33.What is the supplement of 95° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 107°. What is the angle next to it on the same line (in degrees)?
  35. 35.What is the complement of 72° (in degrees)?
  36. 36.Are 32° and 58° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  37. 37.What is the complement of 42° (in degrees)?
  38. 38.Are 77° and 13° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.Two straight lines cross each other. One of the angles formed is 130°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 101°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 91
  2. Complementary
  3. 146
  4. 54
  5. 34
  6. Supplementary
  7. Complementary
  8. 138
  9. 55
  10. 46
  11. Supplementary
  12. 92
  13. 123
  14. 59
  15. 47
  16. 147
  17. 100
  18. 73
  19. 151
  20. 105
  21. 105
  22. 81
  23. 88
  24. 31
  25. Neither
  26. 124
  27. 89
  28. 115
  29. Neither
  30. 55
  31. 148
  32. 156
  33. 85
  34. 73
  35. 18
  36. Complementary
  37. 48
  38. Complementary
  39. 50
  40. 79

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