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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 914 · 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 46° (in degrees)?
  2. 2.Are 70° and 127° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  3. 3.What is the complement of 11° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 155°. What is the angle next to it on the same line (in degrees)?
  5. 5.Are 27° and 63° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its alternate interior angle (in degrees)?
  7. 7.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 89°. What is the angle vertically opposite to it (in degrees)?
  10. 10.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)?
  11. 11.Are 42° and 138° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  12. 12.Two straight lines cross each other. One of the angles formed is 80°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 138°. What is the angle vertically opposite to it (in degrees)?
  14. 14.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)?
  15. 15.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
  16. 16.What is the supplement of 136° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One angle is 35°. What is its corresponding angle (in degrees)?
  18. 18.What is the supplement of 57° (in degrees)?
  19. 19.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 67°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the complement of 41° (in degrees)?
  22. 22.What is the complement of 81° (in degrees)?
  23. 23.What is the complement of 74° (in degrees)?
  24. 24.What is the complement of 75° (in degrees)?
  25. 25.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the complement of 20° (in degrees)?
  27. 27.What is the supplement of 98° (in degrees)?
  28. 28.Two angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the complement of 63° (in degrees)?
  30. 30.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the complement of 10° (in degrees)?
  32. 32.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the supplement of 170° (in degrees)?
  34. 34.Two angles are supplementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 128°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 110°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 38°. What is its corresponding angle (in degrees)?
  38. 38.What is the complement of 76° (in degrees)?
  39. 39.What is the supplement of 44° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. 44
  2. Neither
  3. 79
  4. 25
  5. Complementary
  6. 120
  7. 80
  8. 120
  9. 89
  10. 79
  11. Supplementary
  12. 80
  13. 138
  14. 116
  15. 86
  16. 44
  17. 35
  18. 123
  19. 77
  20. 67
  21. 49
  22. 9
  23. 16
  24. 15
  25. 61
  26. 70
  27. 82
  28. 125
  29. 27
  30. 109
  31. 80
  32. 135
  33. 10
  34. 92
  35. 128
  36. 110
  37. 38
  38. 14
  39. 136
  40. 149

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